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Finding the Fourth Proportional to 83,153.76, 124,772.76 and 36,407.04

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Solution

The fourth proportional to 83,153.76, 124,772.76 and 36,407.04 is: 54,629.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,153.76 : 124,772.76 = 36,407.04 : x
  2. Step 2: Convert to fraction form
    83,153.76/124,772.76 = 36,407.04/x
  3. Step 3: Cross multiply
    83,153.76x = 124,772.76 × 36,407.04
  4. Step 4: Simplify right side
    83,153.76x = 4,542,606,864.23
  5. Step 5: Solve for x
    x = 4,542,606,864.23/83,153.76
  6. Step 6: Final answer
    x = 54,629.00

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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.