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Finding the Fourth Proportional to 29,475.70, 40,675.14 and 16,046.61

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Solution

The fourth proportional to 29,475.70, 40,675.14 and 16,046.61 is: 22,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,475.70 : 40,675.14 = 16,046.61 : x
  2. Step 2: Convert to fraction form
    29,475.70/40,675.14 = 16,046.61/x
  3. Step 3: Cross multiply
    29,475.70x = 40,675.14 × 16,046.61
  4. Step 4: Simplify right side
    29,475.70x = 652,698,108.28
  5. Step 5: Solve for x
    x = 652,698,108.28/29,475.70
  6. Step 6: Final answer
    x = 22,143.60

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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.