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Finding the Fourth Proportional to 101,785.31, 152,522.27 and 54,407.15

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Solution

The fourth proportional to 101,785.31, 152,522.27 and 54,407.15 is: 81,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,785.31 : 152,522.27 = 54,407.15 : x
  2. Step 2: Convert to fraction form
    101,785.31/152,522.27 = 54,407.15/x
  3. Step 3: Cross multiply
    101,785.31x = 152,522.27 × 54,407.15
  4. Step 4: Simplify right side
    101,785.31x = 8,298,300,987.58
  5. Step 5: Solve for x
    x = 8,298,300,987.58/101,785.31
  6. Step 6: Final answer
    x = 81,527.50

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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.