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Finding the Fourth Proportional to 84,566.40, 126,770.40 and 32,011.20

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Solution

The fourth proportional to 84,566.40, 126,770.40 and 32,011.20 is: 47,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,566.40 : 126,770.40 = 32,011.20 : x
  2. Step 2: Convert to fraction form
    84,566.40/126,770.40 = 32,011.20/x
  3. Step 3: Cross multiply
    84,566.40x = 126,770.40 × 32,011.20
  4. Step 4: Simplify right side
    84,566.40x = 4,058,072,628.48
  5. Step 5: Solve for x
    x = 4,058,072,628.48/84,566.40
  6. Step 6: Final answer
    x = 47,986.82

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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.