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Finding the Fourth Proportional to 83,655.52, 115,445.54 and 45,415.42

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Solution

The fourth proportional to 83,655.52, 115,445.54 and 45,415.42 is: 62,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,655.52 : 115,445.54 = 45,415.42 : x
  2. Step 2: Convert to fraction form
    83,655.52/115,445.54 = 45,415.42/x
  3. Step 3: Cross multiply
    83,655.52x = 115,445.54 × 45,415.42
  4. Step 4: Simplify right side
    83,655.52x = 5,243,007,686.23
  5. Step 5: Solve for x
    x = 5,243,007,686.23/83,655.52
  6. Step 6: Final answer
    x = 62,673.78

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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.