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Finding the Fourth Proportional to 86,821.20, 130,134.60 and 49,399.20

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Solution

The fourth proportional to 86,821.20, 130,134.60 and 49,399.20 is: 74,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,821.20 : 130,134.60 = 49,399.20 : x
  2. Step 2: Convert to fraction form
    86,821.20/130,134.60 = 49,399.20/x
  3. Step 3: Cross multiply
    86,821.20x = 130,134.60 × 49,399.20
  4. Step 4: Simplify right side
    86,821.20x = 6,428,545,132.32
  5. Step 5: Solve for x
    x = 6,428,545,132.32/86,821.20
  6. Step 6: Final answer
    x = 74,043.50

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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.