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Finding the Fourth Proportional to 65,902.34, 98,834.27 and 37,817.61

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Solution

The fourth proportional to 65,902.34, 98,834.27 and 37,817.61 is: 56,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,902.34 : 98,834.27 = 37,817.61 : x
  2. Step 2: Convert to fraction form
    65,902.34/98,834.27 = 37,817.61/x
  3. Step 3: Cross multiply
    65,902.34x = 98,834.27 × 37,817.61
  4. Step 4: Simplify right side
    65,902.34x = 3,737,675,688.41
  5. Step 5: Solve for x
    x = 3,737,675,688.41/65,902.34
  6. Step 6: Final answer
    x = 56,715.38

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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.