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Finding the Fourth Proportional to 81,282, 121,812.30 and 45,760.26

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Solution

The fourth proportional to 81,282, 121,812.30 and 45,760.26 is: 68,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,282 : 121,812.30 = 45,760.26 : x
  2. Step 2: Convert to fraction form
    81,282/121,812.30 = 45,760.26/x
  3. Step 3: Cross multiply
    81,282x = 121,812.30 × 45,760.26
  4. Step 4: Simplify right side
    81,282x = 5,574,162,519.20
  5. Step 5: Solve for x
    x = 5,574,162,519.20/81,282
  6. Step 6: Final answer
    x = 68,578.07

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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.