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Finding the Fourth Proportional to 51,338.48, 77,034.12 and 38,854.34

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Solution

The fourth proportional to 51,338.48, 77,034.12 and 38,854.34 is: 58,301.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,338.48 : 77,034.12 = 38,854.34 : x
  2. Step 2: Convert to fraction form
    51,338.48/77,034.12 = 38,854.34/x
  3. Step 3: Cross multiply
    51,338.48x = 77,034.12 × 38,854.34
  4. Step 4: Simplify right side
    51,338.48x = 2,993,109,890.08
  5. Step 5: Solve for x
    x = 2,993,109,890.08/51,338.48
  6. Step 6: Final answer
    x = 58,301.49

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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.