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Finding the Fourth Proportional to 47,071.60, 70,625.88 and 20,758

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Solution

The fourth proportional to 47,071.60, 70,625.88 and 20,758 is: 31,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,071.60 : 70,625.88 = 20,758 : x
  2. Step 2: Convert to fraction form
    47,071.60/70,625.88 = 20,758/x
  3. Step 3: Cross multiply
    47,071.60x = 70,625.88 × 20,758
  4. Step 4: Simplify right side
    47,071.60x = 1,466,052,017.04
  5. Step 5: Solve for x
    x = 1,466,052,017.04/47,071.60
  6. Step 6: Final answer
    x = 31,145.15

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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.