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Finding the Fourth Proportional to 125,510.95, 188,266.42 and 32,016.70

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Solution

The fourth proportional to 125,510.95, 188,266.42 and 32,016.70 is: 48,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,510.95 : 188,266.42 = 32,016.70 : x
  2. Step 2: Convert to fraction form
    125,510.95/188,266.42 = 32,016.70/x
  3. Step 3: Cross multiply
    125,510.95x = 188,266.42 × 32,016.70
  4. Step 4: Simplify right side
    125,510.95x = 6,027,669,764.57
  5. Step 5: Solve for x
    x = 6,027,669,764.57/125,510.95
  6. Step 6: Final answer
    x = 48,025.05

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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.