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Finding the Fourth Proportional to 94,768.38, 130,778.65 and 52,326

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Solution

The fourth proportional to 94,768.38, 130,778.65 and 52,326 is: 72,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,768.38 : 130,778.65 = 52,326 : x
  2. Step 2: Convert to fraction form
    94,768.38/130,778.65 = 52,326/x
  3. Step 3: Cross multiply
    94,768.38x = 130,778.65 × 52,326
  4. Step 4: Simplify right side
    94,768.38x = 6,843,123,705.31
  5. Step 5: Solve for x
    x = 6,843,123,705.31/94,768.38
  6. Step 6: Final answer
    x = 72,208.93

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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.