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Finding the Fourth Proportional to 61,648.72, 92,451.20 and 22,195.24

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Solution

The fourth proportional to 61,648.72, 92,451.20 and 22,195.24 is: 33,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,648.72 : 92,451.20 = 22,195.24 : x
  2. Step 2: Convert to fraction form
    61,648.72/92,451.20 = 22,195.24/x
  3. Step 3: Cross multiply
    61,648.72x = 92,451.20 × 22,195.24
  4. Step 4: Simplify right side
    61,648.72x = 2,051,976,572.29
  5. Step 5: Solve for x
    x = 2,051,976,572.29/61,648.72
  6. Step 6: Final answer
    x = 33,284.98

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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.