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Finding the Fourth Proportional to 83,663.60, 115,456 and 45,940.32

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Solution

The fourth proportional to 83,663.60, 115,456 and 45,940.32 is: 63,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,663.60 : 115,456 = 45,940.32 : x
  2. Step 2: Convert to fraction form
    83,663.60/115,456 = 45,940.32/x
  3. Step 3: Cross multiply
    83,663.60x = 115,456 × 45,940.32
  4. Step 4: Simplify right side
    83,663.60x = 5,304,085,585.92
  5. Step 5: Solve for x
    x = 5,304,085,585.92/83,663.60
  6. Step 6: Final answer
    x = 63,397.77

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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.