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Finding the Fourth Proportional to 82,152.80, 113,370.80 and 44,427.20

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Solution

The fourth proportional to 82,152.80, 113,370.80 and 44,427.20 is: 61,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,152.80 : 113,370.80 = 44,427.20 : x
  2. Step 2: Convert to fraction form
    82,152.80/113,370.80 = 44,427.20/x
  3. Step 3: Cross multiply
    82,152.80x = 113,370.80 × 44,427.20
  4. Step 4: Simplify right side
    82,152.80x = 5,036,747,205.76
  5. Step 5: Solve for x
    x = 5,036,747,205.76/82,152.80
  6. Step 6: Final answer
    x = 61,309.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.