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Finding the Fourth Proportional to 65,586.47, 97,868.16 and 58,517.89

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Solution

The fourth proportional to 65,586.47, 97,868.16 and 58,517.89 is: 87,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,586.47 : 97,868.16 = 58,517.89 : x
  2. Step 2: Convert to fraction form
    65,586.47/97,868.16 = 58,517.89/x
  3. Step 3: Cross multiply
    65,586.47x = 97,868.16 × 58,517.89
  4. Step 4: Simplify right side
    65,586.47x = 5,727,037,976.71
  5. Step 5: Solve for x
    x = 5,727,037,976.71/65,586.47
  6. Step 6: Final answer
    x = 87,320.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.