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Finding the Fourth Proportional to 51,189.39, 70,641.64 and 29,691.87

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Solution

The fourth proportional to 51,189.39, 70,641.64 and 29,691.87 is: 40,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,189.39 : 70,641.64 = 29,691.87 : x
  2. Step 2: Convert to fraction form
    51,189.39/70,641.64 = 29,691.87/x
  3. Step 3: Cross multiply
    51,189.39x = 70,641.64 × 29,691.87
  4. Step 4: Simplify right side
    51,189.39x = 2,097,482,391.47
  5. Step 5: Solve for x
    x = 2,097,482,391.47/51,189.39
  6. Step 6: Final answer
    x = 40,974.94

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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.