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Finding the Fourth Proportional to 83,538.68, 115,285.02 and 45,815

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Solution

The fourth proportional to 83,538.68, 115,285.02 and 45,815 is: 63,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,538.68 : 115,285.02 = 45,815 : x
  2. Step 2: Convert to fraction form
    83,538.68/115,285.02 = 45,815/x
  3. Step 3: Cross multiply
    83,538.68x = 115,285.02 × 45,815
  4. Step 4: Simplify right side
    83,538.68x = 5,281,783,191.30
  5. Step 5: Solve for x
    x = 5,281,783,191.30/83,538.68
  6. Step 6: Final answer
    x = 63,225.60

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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.