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Finding the Fourth Proportional to 82,039.13, 113,214 and 44,313.38

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Solution

The fourth proportional to 82,039.13, 113,214 and 44,313.38 is: 61,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,039.13 : 113,214 = 44,313.38 : x
  2. Step 2: Convert to fraction form
    82,039.13/113,214 = 44,313.38/x
  3. Step 3: Cross multiply
    82,039.13x = 113,214 × 44,313.38
  4. Step 4: Simplify right side
    82,039.13x = 5,016,895,003.32
  5. Step 5: Solve for x
    x = 5,016,895,003.32/82,039.13
  6. Step 6: Final answer
    x = 61,152.46

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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.