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Finding the Fourth Proportional to 82,708.96, 114,139.56 and 44,983.32

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Solution

The fourth proportional to 82,708.96, 114,139.56 and 44,983.32 is: 62,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,708.96 : 114,139.56 = 44,983.32 : x
  2. Step 2: Convert to fraction form
    82,708.96/114,139.56 = 44,983.32/x
  3. Step 3: Cross multiply
    82,708.96x = 114,139.56 × 44,983.32
  4. Step 4: Simplify right side
    82,708.96x = 5,134,376,352.14
  5. Step 5: Solve for x
    x = 5,134,376,352.14/82,708.96
  6. Step 6: Final answer
    x = 62,077.63

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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.