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Finding the Fourth Proportional to 59,569.73, 82,224.69 and 38,349

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Solution

The fourth proportional to 59,569.73, 82,224.69 and 38,349 is: 52,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,569.73 : 82,224.69 = 38,349 : x
  2. Step 2: Convert to fraction form
    59,569.73/82,224.69 = 38,349/x
  3. Step 3: Cross multiply
    59,569.73x = 82,224.69 × 38,349
  4. Step 4: Simplify right side
    59,569.73x = 3,153,234,493.00
  5. Step 5: Solve for x
    x = 3,153,234,493.00/59,569.73
  6. Step 6: Final answer
    x = 52,933.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.