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Finding the Fourth Proportional to 71,510.67, 98,684.72 and 39,684.69

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Solution

The fourth proportional to 71,510.67, 98,684.72 and 39,684.69 is: 54,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,510.67 : 98,684.72 = 39,684.69 : x
  2. Step 2: Convert to fraction form
    71,510.67/98,684.72 = 39,684.69/x
  3. Step 3: Cross multiply
    71,510.67x = 98,684.72 × 39,684.69
  4. Step 4: Simplify right side
    71,510.67x = 3,916,272,520.94
  5. Step 5: Solve for x
    x = 3,916,272,520.94/71,510.67
  6. Step 6: Final answer
    x = 54,764.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.