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Finding the Fourth Proportional to 102,515.60, 153,775.80 and 36,032.24

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Solution

The fourth proportional to 102,515.60, 153,775.80 and 36,032.24 is: 54,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,515.60 : 153,775.80 = 36,032.24 : x
  2. Step 2: Convert to fraction form
    102,515.60/153,775.80 = 36,032.24/x
  3. Step 3: Cross multiply
    102,515.60x = 153,775.80 × 36,032.24
  4. Step 4: Simplify right side
    102,515.60x = 5,540,886,531.79
  5. Step 5: Solve for x
    x = 5,540,886,531.79/102,515.60
  6. Step 6: Final answer
    x = 54,049.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.