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Finding the Fourth Proportional to 82,470.56, 113,810.10 and 44,745.56

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Solution

The fourth proportional to 82,470.56, 113,810.10 and 44,745.56 is: 61,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,470.56 : 113,810.10 = 44,745.56 : x
  2. Step 2: Convert to fraction form
    82,470.56/113,810.10 = 44,745.56/x
  3. Step 3: Cross multiply
    82,470.56x = 113,810.10 × 44,745.56
  4. Step 4: Simplify right side
    82,470.56x = 5,092,496,658.16
  5. Step 5: Solve for x
    x = 5,092,496,658.16/82,470.56
  6. Step 6: Final answer
    x = 61,749.27

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1.5x scale

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.