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Finding the Fourth Proportional to 82,909.52, 114,416.52 and 45,185.36

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Solution

The fourth proportional to 82,909.52, 114,416.52 and 45,185.36 is: 62,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,909.52 : 114,416.52 = 45,185.36 : x
  2. Step 2: Convert to fraction form
    82,909.52/114,416.52 = 45,185.36/x
  3. Step 3: Cross multiply
    82,909.52x = 114,416.52 × 45,185.36
  4. Step 4: Simplify right side
    82,909.52x = 5,169,951,646.15
  5. Step 5: Solve for x
    x = 5,169,951,646.15/82,909.52
  6. Step 6: Final answer
    x = 62,356.55

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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.