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Finding the Fourth Proportional to 47,209.75, 70,814.63 and 14,377.75

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Solution

The fourth proportional to 47,209.75, 70,814.63 and 14,377.75 is: 21,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,209.75 : 70,814.63 = 14,377.75 : x
  2. Step 2: Convert to fraction form
    47,209.75/70,814.63 = 14,377.75/x
  3. Step 3: Cross multiply
    47,209.75x = 70,814.63 × 14,377.75
  4. Step 4: Simplify right side
    47,209.75x = 1,018,155,046.48
  5. Step 5: Solve for x
    x = 1,018,155,046.48/47,209.75
  6. Step 6: Final answer
    x = 21,566.63

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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.