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Finding the Fourth Proportional to 38,145.68, 52,641.03 and 21,149.87

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Solution

The fourth proportional to 38,145.68, 52,641.03 and 21,149.87 is: 29,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,145.68 : 52,641.03 = 21,149.87 : x
  2. Step 2: Convert to fraction form
    38,145.68/52,641.03 = 21,149.87/x
  3. Step 3: Cross multiply
    38,145.68x = 52,641.03 × 21,149.87
  4. Step 4: Simplify right side
    38,145.68x = 1,113,350,941.17
  5. Step 5: Solve for x
    x = 1,113,350,941.17/38,145.68
  6. Step 6: Final answer
    x = 29,186.82

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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.