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Finding the Fourth Proportional to 29,380, 40,545.36 and 16,132

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Solution

The fourth proportional to 29,380, 40,545.36 and 16,132 is: 22,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,380 : 40,545.36 = 16,132 : x
  2. Step 2: Convert to fraction form
    29,380/40,545.36 = 16,132/x
  3. Step 3: Cross multiply
    29,380x = 40,545.36 × 16,132
  4. Step 4: Simplify right side
    29,380x = 654,077,747.52
  5. Step 5: Solve for x
    x = 654,077,747.52/29,380
  6. Step 6: Final answer
    x = 22,262.69

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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.