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Finding the Fourth Proportional to 132,034.20, 198,051.30 and 38,549.40

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Solution

The fourth proportional to 132,034.20, 198,051.30 and 38,549.40 is: 57,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,034.20 : 198,051.30 = 38,549.40 : x
  2. Step 2: Convert to fraction form
    132,034.20/198,051.30 = 38,549.40/x
  3. Step 3: Cross multiply
    132,034.20x = 198,051.30 × 38,549.40
  4. Step 4: Simplify right side
    132,034.20x = 7,634,758,784.22
  5. Step 5: Solve for x
    x = 7,634,758,784.22/132,034.20
  6. Step 6: Final answer
    x = 57,824.10

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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.