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Finding the Fourth Proportional to 36,042, 49,759.92 and 24,730.08

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Solution

The fourth proportional to 36,042, 49,759.92 and 24,730.08 is: 34,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,042 : 49,759.92 = 24,730.08 : x
  2. Step 2: Convert to fraction form
    36,042/49,759.92 = 24,730.08/x
  3. Step 3: Cross multiply
    36,042x = 49,759.92 × 24,730.08
  4. Step 4: Simplify right side
    36,042x = 1,230,566,802.39
  5. Step 5: Solve for x
    x = 1,230,566,802.39/36,042
  6. Step 6: Final answer
    x = 34,142.58

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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.