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Finding the Fourth Proportional to 125,540, 188,309.84 and 32,045.76

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Solution

The fourth proportional to 125,540, 188,309.84 and 32,045.76 is: 48,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,540 : 188,309.84 = 32,045.76 : x
  2. Step 2: Convert to fraction form
    125,540/188,309.84 = 32,045.76/x
  3. Step 3: Cross multiply
    125,540x = 188,309.84 × 32,045.76
  4. Step 4: Simplify right side
    125,540x = 6,034,531,938.28
  5. Step 5: Solve for x
    x = 6,034,531,938.28/125,540
  6. Step 6: Final answer
    x = 48,068.60

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