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Finding the Fourth Proportional to 32,781.52, 49,171.89 and 9,407.86

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Solution

The fourth proportional to 32,781.52, 49,171.89 and 9,407.86 is: 14,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781.52 : 49,171.89 = 9,407.86 : x
  2. Step 2: Convert to fraction form
    32,781.52/49,171.89 = 9,407.86/x
  3. Step 3: Cross multiply
    32,781.52x = 49,171.89 × 9,407.86
  4. Step 4: Simplify right side
    32,781.52x = 462,602,257.06
  5. Step 5: Solve for x
    x = 462,602,257.06/32,781.52
  6. Step 6: Final answer
    x = 14,111.68

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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.