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Finding the Fourth Proportional to 91,785.52, 137,719.60 and 49,616.24

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Solution

The fourth proportional to 91,785.52, 137,719.60 and 49,616.24 is: 74,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,785.52 : 137,719.60 = 49,616.24 : x
  2. Step 2: Convert to fraction form
    91,785.52/137,719.60 = 49,616.24/x
  3. Step 3: Cross multiply
    91,785.52x = 137,719.60 × 49,616.24
  4. Step 4: Simplify right side
    91,785.52x = 6,833,128,726.30
  5. Step 5: Solve for x
    x = 6,833,128,726.30/91,785.52
  6. Step 6: Final answer
    x = 74,446.70

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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.