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Finding the Fourth Proportional to 39,569, 59,300 and 16,182.68

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Solution

The fourth proportional to 39,569, 59,300 and 16,182.68 is: 24,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,569 : 59,300 = 16,182.68 : x
  2. Step 2: Convert to fraction form
    39,569/59,300 = 16,182.68/x
  3. Step 3: Cross multiply
    39,569x = 59,300 × 16,182.68
  4. Step 4: Simplify right side
    39,569x = 959,632,924
  5. Step 5: Solve for x
    x = 959,632,924/39,569
  6. Step 6: Final answer
    x = 24,252.14

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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.