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Finding the Fourth Proportional to 84,356.40, 126,583.20 and 31,803.60

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Solution

The fourth proportional to 84,356.40, 126,583.20 and 31,803.60 is: 47,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,356.40 : 126,583.20 = 31,803.60 : x
  2. Step 2: Convert to fraction form
    84,356.40/126,583.20 = 31,803.60/x
  3. Step 3: Cross multiply
    84,356.40x = 126,583.20 × 31,803.60
  4. Step 4: Simplify right side
    84,356.40x = 4,025,801,459.52
  5. Step 5: Solve for x
    x = 4,025,801,459.52/84,356.40
  6. Step 6: Final answer
    x = 47,723.72

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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.