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Finding the Fourth Proportional to 36,862.32, 55,161.84 and 29,514

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Solution

The fourth proportional to 36,862.32, 55,161.84 and 29,514 is: 44,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,862.32 : 55,161.84 = 29,514 : x
  2. Step 2: Convert to fraction form
    36,862.32/55,161.84 = 29,514/x
  3. Step 3: Cross multiply
    36,862.32x = 55,161.84 × 29,514
  4. Step 4: Simplify right side
    36,862.32x = 1,628,046,545.76
  5. Step 5: Solve for x
    x = 1,628,046,545.76/36,862.32
  6. Step 6: Final answer
    x = 44,165.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.