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Finding the Fourth Proportional to 115,042.64, 172,330.68 and 59,522

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Solution

The fourth proportional to 115,042.64, 172,330.68 and 59,522 is: 89,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,042.64 : 172,330.68 = 59,522 : x
  2. Step 2: Convert to fraction form
    115,042.64/172,330.68 = 59,522/x
  3. Step 3: Cross multiply
    115,042.64x = 172,330.68 × 59,522
  4. Step 4: Simplify right side
    115,042.64x = 10,257,466,734.96
  5. Step 5: Solve for x
    x = 10,257,466,734.96/115,042.64
  6. Step 6: Final answer
    x = 89,162.30

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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.