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Finding the Fourth Proportional to 39,583, 59,400.42 and 14,959

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Solution

The fourth proportional to 39,583, 59,400.42 and 14,959 is: 22,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,583 : 59,400.42 = 14,959 : x
  2. Step 2: Convert to fraction form
    39,583/59,400.42 = 14,959/x
  3. Step 3: Cross multiply
    39,583x = 59,400.42 × 14,959
  4. Step 4: Simplify right side
    39,583x = 888,570,882.78
  5. Step 5: Solve for x
    x = 888,570,882.78/39,583
  6. Step 6: Final answer
    x = 22,448.30

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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.