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Finding the Fourth Proportional to 85,170.46, 127,658.80 and 51,817

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Solution

The fourth proportional to 85,170.46, 127,658.80 and 51,817 is: 77,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,170.46 : 127,658.80 = 51,817 : x
  2. Step 2: Convert to fraction form
    85,170.46/127,658.80 = 51,817/x
  3. Step 3: Cross multiply
    85,170.46x = 127,658.80 × 51,817
  4. Step 4: Simplify right side
    85,170.46x = 6,614,896,039.60
  5. Step 5: Solve for x
    x = 6,614,896,039.60/85,170.46
  6. Step 6: Final answer
    x = 77,666.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.