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Finding the Fourth Proportional to 82,459.23, 113,793.71 and 44,733.48

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Solution

The fourth proportional to 82,459.23, 113,793.71 and 44,733.48 is: 61,732.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,459.23 : 113,793.71 = 44,733.48 : x
  2. Step 2: Convert to fraction form
    82,459.23/113,793.71 = 44,733.48/x
  3. Step 3: Cross multiply
    82,459.23x = 113,793.71 × 44,733.48
  4. Step 4: Simplify right side
    82,459.23x = 5,090,388,426.74
  5. Step 5: Solve for x
    x = 5,090,388,426.74/82,459.23
  6. Step 6: Final answer
    x = 61,732.18

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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.