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Finding the Fourth Proportional to 83,510.34, 125,259.84 and 39,147

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Solution

The fourth proportional to 83,510.34, 125,259.84 and 39,147 is: 58,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,510.34 : 125,259.84 = 39,147 : x
  2. Step 2: Convert to fraction form
    83,510.34/125,259.84 = 39,147/x
  3. Step 3: Cross multiply
    83,510.34x = 125,259.84 × 39,147
  4. Step 4: Simplify right side
    83,510.34x = 4,903,546,956.48
  5. Step 5: Solve for x
    x = 4,903,546,956.48/83,510.34
  6. Step 6: Final answer
    x = 58,717.84

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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.