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Finding the Fourth Proportional to 81,456.84, 112,411.80 and 45,654.84

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Solution

The fourth proportional to 81,456.84, 112,411.80 and 45,654.84 is: 63,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,456.84 : 112,411.80 = 45,654.84 : x
  2. Step 2: Convert to fraction form
    81,456.84/112,411.80 = 45,654.84/x
  3. Step 3: Cross multiply
    81,456.84x = 112,411.80 × 45,654.84
  4. Step 4: Simplify right side
    81,456.84x = 5,132,142,743.11
  5. Step 5: Solve for x
    x = 5,132,142,743.11/81,456.84
  6. Step 6: Final answer
    x = 63,004.44

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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.