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Finding the Fourth Proportional to 39,197.71, 58,800.45 and 12,537

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Solution

The fourth proportional to 39,197.71, 58,800.45 and 12,537 is: 18,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,197.71 : 58,800.45 = 12,537 : x
  2. Step 2: Convert to fraction form
    39,197.71/58,800.45 = 12,537/x
  3. Step 3: Cross multiply
    39,197.71x = 58,800.45 × 12,537
  4. Step 4: Simplify right side
    39,197.71x = 737,181,241.65
  5. Step 5: Solve for x
    x = 737,181,241.65/39,197.71
  6. Step 6: Final answer
    x = 18,806.74

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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.