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Finding the Fourth Proportional to 29,429.34, 40,612.68 and 16,000.74

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Solution

The fourth proportional to 29,429.34, 40,612.68 and 16,000.74 is: 22,081.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,429.34 : 40,612.68 = 16,000.74 : x
  2. Step 2: Convert to fraction form
    29,429.34/40,612.68 = 16,000.74/x
  3. Step 3: Cross multiply
    29,429.34x = 40,612.68 × 16,000.74
  4. Step 4: Simplify right side
    29,429.34x = 649,832,933.38
  5. Step 5: Solve for x
    x = 649,832,933.38/29,429.34
  6. Step 6: Final answer
    x = 22,081.12

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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.