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Finding the Fourth Proportional to 65,658.50, 98,518.50 and 32,360.41

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Solution

The fourth proportional to 65,658.50, 98,518.50 and 32,360.41 is: 48,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,658.50 : 98,518.50 = 32,360.41 : x
  2. Step 2: Convert to fraction form
    65,658.50/98,518.50 = 32,360.41/x
  3. Step 3: Cross multiply
    65,658.50x = 98,518.50 × 32,360.41
  4. Step 4: Simplify right side
    65,658.50x = 3,188,098,806.29
  5. Step 5: Solve for x
    x = 3,188,098,806.29/65,658.50
  6. Step 6: Final answer
    x = 48,555.77

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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.