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Finding the Fourth Proportional to 32,781.52, 49,171.01 and 9,407.95

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Solution

The fourth proportional to 32,781.52, 49,171.01 and 9,407.95 is: 14,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781.52 : 49,171.01 = 9,407.95 : x
  2. Step 2: Convert to fraction form
    32,781.52/49,171.01 = 9,407.95/x
  3. Step 3: Cross multiply
    32,781.52x = 49,171.01 × 9,407.95
  4. Step 4: Simplify right side
    32,781.52x = 462,598,356.49
  5. Step 5: Solve for x
    x = 462,598,356.49/32,781.52
  6. Step 6: Final answer
    x = 14,111.56

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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.