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Finding the Fourth Proportional to 75,819.97, 113,505.31 and 56,186.65

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Solution

The fourth proportional to 75,819.97, 113,505.31 and 56,186.65 is: 84,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,819.97 : 113,505.31 = 56,186.65 : x
  2. Step 2: Convert to fraction form
    75,819.97/113,505.31 = 56,186.65/x
  3. Step 3: Cross multiply
    75,819.97x = 113,505.31 × 56,186.65
  4. Step 4: Simplify right side
    75,819.97x = 6,377,482,541.73
  5. Step 5: Solve for x
    x = 6,377,482,541.73/75,819.97
  6. Step 6: Final answer
    x = 84,113.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.