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Finding the Fourth Proportional to 61,182.64, 91,823.72 and 31,609.12

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Solution

The fourth proportional to 61,182.64, 91,823.72 and 31,609.12 is: 47,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,182.64 : 91,823.72 = 31,609.12 : x
  2. Step 2: Convert to fraction form
    61,182.64/91,823.72 = 31,609.12/x
  3. Step 3: Cross multiply
    61,182.64x = 91,823.72 × 31,609.12
  4. Step 4: Simplify right side
    61,182.64x = 2,902,466,984.33
  5. Step 5: Solve for x
    x = 2,902,466,984.33/61,182.64
  6. Step 6: Final answer
    x = 47,439.39

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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.