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Finding the Fourth Proportional to 102,332.57, 153,512.69 and 35,757.05

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Solution

The fourth proportional to 102,332.57, 153,512.69 and 35,757.05 is: 53,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,332.57 : 153,512.69 = 35,757.05 : x
  2. Step 2: Convert to fraction form
    102,332.57/153,512.69 = 35,757.05/x
  3. Step 3: Cross multiply
    102,332.57x = 153,512.69 × 35,757.05
  4. Step 4: Simplify right side
    102,332.57x = 5,489,159,985.62
  5. Step 5: Solve for x
    x = 5,489,159,985.62/102,332.57
  6. Step 6: Final answer
    x = 53,640.40

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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.