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Finding the Fourth Proportional to 83,242.26, 124,881.90 and 38,844.78

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Solution

The fourth proportional to 83,242.26, 124,881.90 and 38,844.78 is: 58,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,242.26 : 124,881.90 = 38,844.78 : x
  2. Step 2: Convert to fraction form
    83,242.26/124,881.90 = 38,844.78/x
  3. Step 3: Cross multiply
    83,242.26x = 124,881.90 × 38,844.78
  4. Step 4: Simplify right side
    83,242.26x = 4,851,009,931.48
  5. Step 5: Solve for x
    x = 4,851,009,931.48/83,242.26
  6. Step 6: Final answer
    x = 58,275.81

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Why These Related Problems?

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