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Finding the Fourth Proportional to 52,951.96, 73,073.95 and 30,291.20

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Solution

The fourth proportional to 52,951.96, 73,073.95 and 30,291.20 is: 41,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,951.96 : 73,073.95 = 30,291.20 : x
  2. Step 2: Convert to fraction form
    52,951.96/73,073.95 = 30,291.20/x
  3. Step 3: Cross multiply
    52,951.96x = 73,073.95 × 30,291.20
  4. Step 4: Simplify right side
    52,951.96x = 2,213,497,467.17
  5. Step 5: Solve for x
    x = 2,213,497,467.17/52,951.96
  6. Step 6: Final answer
    x = 41,801.99

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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.