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Finding the Fourth Proportional to 91,348.92, 137,022.78 and 46,988.04

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Solution

The fourth proportional to 91,348.92, 137,022.78 and 46,988.04 is: 70,481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,348.92 : 137,022.78 = 46,988.04 : x
  2. Step 2: Convert to fraction form
    91,348.92/137,022.78 = 46,988.04/x
  3. Step 3: Cross multiply
    91,348.92x = 137,022.78 × 46,988.04
  4. Step 4: Simplify right side
    91,348.92x = 6,438,431,867.55
  5. Step 5: Solve for x
    x = 6,438,431,867.55/91,348.92
  6. Step 6: Final answer
    x = 70,481.75

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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.