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Finding the Fourth Proportional to 82,471.33, 113,810.64 and 44,745.58

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Solution

The fourth proportional to 82,471.33, 113,810.64 and 44,745.58 is: 61,749.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,471.33 : 113,810.64 = 44,745.58 : x
  2. Step 2: Convert to fraction form
    82,471.33/113,810.64 = 44,745.58/x
  3. Step 3: Cross multiply
    82,471.33x = 113,810.64 × 44,745.58
  4. Step 4: Simplify right side
    82,471.33x = 5,092,523,096.97
  5. Step 5: Solve for x
    x = 5,092,523,096.97/82,471.33
  6. Step 6: Final answer
    x = 61,749.01

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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.