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Finding the Fourth Proportional to 47,319,287.20, 70,978,930.80 and 31,163,480.80

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Solution

The fourth proportional to 47,319,287.20, 70,978,930.80 and 31,163,480.80 is: 46,745,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,319,287.20 : 70,978,930.80 = 31,163,480.80 : x
  2. Step 2: Convert to fraction form
    47,319,287.20/70,978,930.80 = 31,163,480.80/x
  3. Step 3: Cross multiply
    47,319,287.20x = 70,978,930.80 × 31,163,480.80
  4. Step 4: Simplify right side
    47,319,287.20x = 2,211,950,547,190,328.50
  5. Step 5: Solve for x
    x = 2,211,950,547,190,328.50/47,319,287.20
  6. Step 6: Final answer
    x = 46,745,221.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.