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Finding the Fourth Proportional to 102,517.20, 153,775.80 and 36,032.40

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Solution

The fourth proportional to 102,517.20, 153,775.80 and 36,032.40 is: 54,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,517.20 : 153,775.80 = 36,032.40 : x
  2. Step 2: Convert to fraction form
    102,517.20/153,775.80 = 36,032.40/x
  3. Step 3: Cross multiply
    102,517.20x = 153,775.80 × 36,032.40
  4. Step 4: Simplify right side
    102,517.20x = 5,540,911,135.92
  5. Step 5: Solve for x
    x = 5,540,911,135.92/102,517.20
  6. Step 6: Final answer
    x = 54,048.60

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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.