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Finding the Fourth Proportional to 65,674.17, 90,624.96 and 38,817.81

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Solution

The fourth proportional to 65,674.17, 90,624.96 and 38,817.81 is: 53,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,674.17 : 90,624.96 = 38,817.81 : x
  2. Step 2: Convert to fraction form
    65,674.17/90,624.96 = 38,817.81/x
  3. Step 3: Cross multiply
    65,674.17x = 90,624.96 × 38,817.81
  4. Step 4: Simplify right side
    65,674.17x = 3,517,862,478.54
  5. Step 5: Solve for x
    x = 3,517,862,478.54/65,674.17
  6. Step 6: Final answer
    x = 53,565.39

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Why These Related Problems?

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