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Finding the Fourth Proportional to 82,959.38, 114,495.09 and 52,747.70

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Solution

The fourth proportional to 82,959.38, 114,495.09 and 52,747.70 is: 72,798.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,959.38 : 114,495.09 = 52,747.70 : x
  2. Step 2: Convert to fraction form
    82,959.38/114,495.09 = 52,747.70/x
  3. Step 3: Cross multiply
    82,959.38x = 114,495.09 × 52,747.70
  4. Step 4: Simplify right side
    82,959.38x = 6,039,352,658.79
  5. Step 5: Solve for x
    x = 6,039,352,658.79/82,959.38
  6. Step 6: Final answer
    x = 72,798.91

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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.