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Finding the Fourth Proportional to 125,538, 188,306.84 and 32,043.76

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Solution

The fourth proportional to 125,538, 188,306.84 and 32,043.76 is: 48,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,538 : 188,306.84 = 32,043.76 : x
  2. Step 2: Convert to fraction form
    125,538/188,306.84 = 32,043.76/x
  3. Step 3: Cross multiply
    125,538x = 188,306.84 × 32,043.76
  4. Step 4: Simplify right side
    125,538x = 6,034,059,187.32
  5. Step 5: Solve for x
    x = 6,034,059,187.32/125,538
  6. Step 6: Final answer
    x = 48,065.60

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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.