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Finding the Fourth Proportional to 61,668, 92,514.96 and 24,732

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Solution

The fourth proportional to 61,668, 92,514.96 and 24,732 is: 37,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,668 : 92,514.96 = 24,732 : x
  2. Step 2: Convert to fraction form
    61,668/92,514.96 = 24,732/x
  3. Step 3: Cross multiply
    61,668x = 92,514.96 × 24,732
  4. Step 4: Simplify right side
    61,668x = 2,288,079,990.72
  5. Step 5: Solve for x
    x = 2,288,079,990.72/61,668
  6. Step 6: Final answer
    x = 37,103.20

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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.