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Finding the Fourth Proportional to 81,963.47, 122,902.90 and 37,552.16

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Solution

The fourth proportional to 81,963.47, 122,902.90 and 37,552.16 is: 56,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,963.47 : 122,902.90 = 37,552.16 : x
  2. Step 2: Convert to fraction form
    81,963.47/122,902.90 = 37,552.16/x
  3. Step 3: Cross multiply
    81,963.47x = 122,902.90 × 37,552.16
  4. Step 4: Simplify right side
    81,963.47x = 4,615,268,656.87
  5. Step 5: Solve for x
    x = 4,615,268,656.87/81,963.47
  6. Step 6: Final answer
    x = 56,308.85

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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.