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Finding the Fourth Proportional to 86,825.20, 130,237.80 and 47,459.20

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Solution

The fourth proportional to 86,825.20, 130,237.80 and 47,459.20 is: 71,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,825.20 : 130,237.80 = 47,459.20 : x
  2. Step 2: Convert to fraction form
    86,825.20/130,237.80 = 47,459.20/x
  3. Step 3: Cross multiply
    86,825.20x = 130,237.80 × 47,459.20
  4. Step 4: Simplify right side
    86,825.20x = 6,180,981,797.76
  5. Step 5: Solve for x
    x = 6,180,981,797.76/86,825.20
  6. Step 6: Final answer
    x = 71,188.80

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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.