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Finding the Fourth Proportional to 82,359.40, 113,656.38 and 44,633.56

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Solution

The fourth proportional to 82,359.40, 113,656.38 and 44,633.56 is: 61,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,359.40 : 113,656.38 = 44,633.56 : x
  2. Step 2: Convert to fraction form
    82,359.40/113,656.38 = 44,633.56/x
  3. Step 3: Cross multiply
    82,359.40x = 113,656.38 × 44,633.56
  4. Step 4: Simplify right side
    82,359.40x = 5,072,888,856.11
  5. Step 5: Solve for x
    x = 5,072,888,856.11/82,359.40
  6. Step 6: Final answer
    x = 61,594.53

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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.