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Finding the Fourth Proportional to 76,850, 115,275 and 18,482

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Solution

The fourth proportional to 76,850, 115,275 and 18,482 is: 27,723

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,850 : 115,275 = 18,482 : x
  2. Step 2: Convert to fraction form
    76,850/115,275 = 18,482/x
  3. Step 3: Cross multiply
    76,850x = 115,275 × 18,482
  4. Step 4: Simplify right side
    76,850x = 2,130,512,550
  5. Step 5: Solve for x
    x = 2,130,512,550/76,850
  6. Step 6: Final answer
    x = 27,723

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.