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Finding the Fourth Proportional to 32,825.40, 49,124.70 and 19,687.20

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Solution

The fourth proportional to 32,825.40, 49,124.70 and 19,687.20 is: 29,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,825.40 : 49,124.70 = 19,687.20 : x
  2. Step 2: Convert to fraction form
    32,825.40/49,124.70 = 19,687.20/x
  3. Step 3: Cross multiply
    32,825.40x = 49,124.70 × 19,687.20
  4. Step 4: Simplify right side
    32,825.40x = 967,127,793.84
  5. Step 5: Solve for x
    x = 967,127,793.84/32,825.40
  6. Step 6: Final answer
    x = 29,462.79

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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.