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Finding the Fourth Proportional to 91,694.34, 137,542.72 and 29,364.84

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Solution

The fourth proportional to 91,694.34, 137,542.72 and 29,364.84 is: 44,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,694.34 : 137,542.72 = 29,364.84 : x
  2. Step 2: Convert to fraction form
    91,694.34/137,542.72 = 29,364.84/x
  3. Step 3: Cross multiply
    91,694.34x = 137,542.72 × 29,364.84
  4. Step 4: Simplify right side
    91,694.34x = 4,038,919,965.96
  5. Step 5: Solve for x
    x = 4,038,919,965.96/91,694.34
  6. Step 6: Final answer
    x = 44,047.65

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Why These Related Problems?

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