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Finding the Fourth Proportional to 83,064.96, 114,631.20 and 45,340.56

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Solution

The fourth proportional to 83,064.96, 114,631.20 and 45,340.56 is: 62,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,064.96 : 114,631.20 = 45,340.56 : x
  2. Step 2: Convert to fraction form
    83,064.96/114,631.20 = 45,340.56/x
  3. Step 3: Cross multiply
    83,064.96x = 114,631.20 × 45,340.56
  4. Step 4: Simplify right side
    83,064.96x = 5,197,442,801.47
  5. Step 5: Solve for x
    x = 5,197,442,801.47/83,064.96
  6. Step 6: Final answer
    x = 62,570.82

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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.