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Finding the Fourth Proportional to 29,008.38, 40,031.52 and 16,433.10

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Solution

The fourth proportional to 29,008.38, 40,031.52 and 16,433.10 is: 22,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,008.38 : 40,031.52 = 16,433.10 : x
  2. Step 2: Convert to fraction form
    29,008.38/40,031.52 = 16,433.10/x
  3. Step 3: Cross multiply
    29,008.38x = 40,031.52 × 16,433.10
  4. Step 4: Simplify right side
    29,008.38x = 657,841,971.31
  5. Step 5: Solve for x
    x = 657,841,971.31/29,008.38
  6. Step 6: Final answer
    x = 22,677.65

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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.