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Finding the Fourth Proportional to 85,527.70, 128,205.15 and 38,814.10

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Solution

The fourth proportional to 85,527.70, 128,205.15 and 38,814.10 is: 58,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,527.70 : 128,205.15 = 38,814.10 : x
  2. Step 2: Convert to fraction form
    85,527.70/128,205.15 = 38,814.10/x
  3. Step 3: Cross multiply
    85,527.70x = 128,205.15 × 38,814.10
  4. Step 4: Simplify right side
    85,527.70x = 4,976,167,512.62
  5. Step 5: Solve for x
    x = 4,976,167,512.62/85,527.70
  6. Step 6: Final answer
    x = 58,181.94

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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.