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Finding the Fourth Proportional to 83,102.81, 124,635.99 and 23,925.63

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Solution

The fourth proportional to 83,102.81, 124,635.99 and 23,925.63 is: 35,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,102.81 : 124,635.99 = 23,925.63 : x
  2. Step 2: Convert to fraction form
    83,102.81/124,635.99 = 23,925.63/x
  3. Step 3: Cross multiply
    83,102.81x = 124,635.99 × 23,925.63
  4. Step 4: Simplify right side
    83,102.81x = 2,981,994,370.16
  5. Step 5: Solve for x
    x = 2,981,994,370.16/83,102.81
  6. Step 6: Final answer
    x = 35,883.20

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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.