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Finding the Fourth Proportional to 83,047.40, 124,571.10 and 45,722.60

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Solution

The fourth proportional to 83,047.40, 124,571.10 and 45,722.60 is: 68,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047.40 : 124,571.10 = 45,722.60 : x
  2. Step 2: Convert to fraction form
    83,047.40/124,571.10 = 45,722.60/x
  3. Step 3: Cross multiply
    83,047.40x = 124,571.10 × 45,722.60
  4. Step 4: Simplify right side
    83,047.40x = 5,695,714,576.86
  5. Step 5: Solve for x
    x = 5,695,714,576.86/83,047.40
  6. Step 6: Final answer
    x = 68,583.90

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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.