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Finding the Fourth Proportional to 61,358.26, 91,962.06 and 31,759.24

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Solution

The fourth proportional to 61,358.26, 91,962.06 and 31,759.24 is: 47,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,358.26 : 91,962.06 = 31,759.24 : x
  2. Step 2: Convert to fraction form
    61,358.26/91,962.06 = 31,759.24/x
  3. Step 3: Cross multiply
    61,358.26x = 91,962.06 × 31,759.24
  4. Step 4: Simplify right side
    61,358.26x = 2,920,645,134.43
  5. Step 5: Solve for x
    x = 2,920,645,134.43/61,358.26
  6. Step 6: Final answer
    x = 47,599.87

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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.