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Finding the Fourth Proportional to 61,648.47, 92,464.92 and 19,532.83

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Solution

The fourth proportional to 61,648.47, 92,464.92 and 19,532.83 is: 29,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,648.47 : 92,464.92 = 19,532.83 : x
  2. Step 2: Convert to fraction form
    61,648.47/92,464.92 = 19,532.83/x
  3. Step 3: Cross multiply
    61,648.47x = 92,464.92 × 19,532.83
  4. Step 4: Simplify right side
    61,648.47x = 1,806,101,234.50
  5. Step 5: Solve for x
    x = 1,806,101,234.50/61,648.47
  6. Step 6: Final answer
    x = 29,296.77

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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.