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Finding the Fourth Proportional to 121,356.52, 182,034.84 and 38,257

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Solution

The fourth proportional to 121,356.52, 182,034.84 and 38,257 is: 57,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,356.52 : 182,034.84 = 38,257 : x
  2. Step 2: Convert to fraction form
    121,356.52/182,034.84 = 38,257/x
  3. Step 3: Cross multiply
    121,356.52x = 182,034.84 × 38,257
  4. Step 4: Simplify right side
    121,356.52x = 6,964,106,873.88
  5. Step 5: Solve for x
    x = 6,964,106,873.88/121,356.52
  6. Step 6: Final answer
    x = 57,385.52

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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.