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Finding the Fourth Proportional to 121,754.84, 182,631.65 and 33,008.20

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Solution

The fourth proportional to 121,754.84, 182,631.65 and 33,008.20 is: 49,512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,754.84 : 182,631.65 = 33,008.20 : x
  2. Step 2: Convert to fraction form
    121,754.84/182,631.65 = 33,008.20/x
  3. Step 3: Cross multiply
    121,754.84x = 182,631.65 × 33,008.20
  4. Step 4: Simplify right side
    121,754.84x = 6,028,341,407.91
  5. Step 5: Solve for x
    x = 6,028,341,407.91/121,754.84
  6. Step 6: Final answer
    x = 49,512.13

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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.