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Finding the Fourth Proportional to 83,859.84, 125,746.43 and 24,687.86

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Solution

The fourth proportional to 83,859.84, 125,746.43 and 24,687.86 is: 37,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,859.84 : 125,746.43 = 24,687.86 : x
  2. Step 2: Convert to fraction form
    83,859.84/125,746.43 = 24,687.86/x
  3. Step 3: Cross multiply
    83,859.84x = 125,746.43 × 24,687.86
  4. Step 4: Simplify right side
    83,859.84x = 3,104,409,507.17
  5. Step 5: Solve for x
    x = 3,104,409,507.17/83,859.84
  6. Step 6: Final answer
    x = 37,019.02

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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.