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Finding the Fourth Proportional to 29,002.26, 40,042.38 and 22,275.84

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Solution

The fourth proportional to 29,002.26, 40,042.38 and 22,275.84 is: 30,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,002.26 : 40,042.38 = 22,275.84 : x
  2. Step 2: Convert to fraction form
    29,002.26/40,042.38 = 22,275.84/x
  3. Step 3: Cross multiply
    29,002.26x = 40,042.38 × 22,275.84
  4. Step 4: Simplify right side
    29,002.26x = 891,977,650.10
  5. Step 5: Solve for x
    x = 891,977,650.10/29,002.26
  6. Step 6: Final answer
    x = 30,755.45

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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.