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Finding the Fourth Proportional to 83,882.32, 115,757.04 and 46,156.48

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Solution

The fourth proportional to 83,882.32, 115,757.04 and 46,156.48 is: 63,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,882.32 : 115,757.04 = 46,156.48 : x
  2. Step 2: Convert to fraction form
    83,882.32/115,757.04 = 46,156.48/x
  3. Step 3: Cross multiply
    83,882.32x = 115,757.04 × 46,156.48
  4. Step 4: Simplify right side
    83,882.32x = 5,342,937,501.62
  5. Step 5: Solve for x
    x = 5,342,937,501.62/83,882.32
  6. Step 6: Final answer
    x = 63,695.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.