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Finding the Fourth Proportional to 86,866.70, 130,046.50 and 53,486.60

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Solution

The fourth proportional to 86,866.70, 130,046.50 and 53,486.60 is: 80,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,866.70 : 130,046.50 = 53,486.60 : x
  2. Step 2: Convert to fraction form
    86,866.70/130,046.50 = 53,486.60/x
  3. Step 3: Cross multiply
    86,866.70x = 130,046.50 × 53,486.60
  4. Step 4: Simplify right side
    86,866.70x = 6,955,745,126.90
  5. Step 5: Solve for x
    x = 6,955,745,126.90/86,866.70
  6. Step 6: Final answer
    x = 80,073.78

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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.