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Finding the Fourth Proportional to 61,744.91, 92,615.49 and 24,277.95

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Solution

The fourth proportional to 61,744.91, 92,615.49 and 24,277.95 is: 36,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,744.91 : 92,615.49 = 24,277.95 : x
  2. Step 2: Convert to fraction form
    61,744.91/92,615.49 = 24,277.95/x
  3. Step 3: Cross multiply
    61,744.91x = 92,615.49 × 24,277.95
  4. Step 4: Simplify right side
    61,744.91x = 2,248,514,235.45
  5. Step 5: Solve for x
    x = 2,248,514,235.45/61,744.91
  6. Step 6: Final answer
    x = 36,416.19

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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.