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Finding the Fourth Proportional to 52,850, 72,933 and 30,494

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Solution

The fourth proportional to 52,850, 72,933 and 30,494 is: 42,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,850 : 72,933 = 30,494 : x
  2. Step 2: Convert to fraction form
    52,850/72,933 = 30,494/x
  3. Step 3: Cross multiply
    52,850x = 72,933 × 30,494
  4. Step 4: Simplify right side
    52,850x = 2,224,018,902
  5. Step 5: Solve for x
    x = 2,224,018,902/52,850
  6. Step 6: Final answer
    x = 42,081.72

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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.