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Finding the Fourth Proportional to 40,642.35, 56,095.22 and 24,731.92

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Solution

The fourth proportional to 40,642.35, 56,095.22 and 24,731.92 is: 34,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,642.35 : 56,095.22 = 24,731.92 : x
  2. Step 2: Convert to fraction form
    40,642.35/56,095.22 = 24,731.92/x
  3. Step 3: Cross multiply
    40,642.35x = 56,095.22 × 24,731.92
  4. Step 4: Simplify right side
    40,642.35x = 1,387,342,369.76
  5. Step 5: Solve for x
    x = 1,387,342,369.76/40,642.35
  6. Step 6: Final answer
    x = 34,135.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.