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Finding the Fourth Proportional to 32,820.40, 49,117.20 and 19,682.20

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Solution

The fourth proportional to 32,820.40, 49,117.20 and 19,682.20 is: 29,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820.40 : 49,117.20 = 19,682.20 : x
  2. Step 2: Convert to fraction form
    32,820.40/49,117.20 = 19,682.20/x
  3. Step 3: Cross multiply
    32,820.40x = 49,117.20 × 19,682.20
  4. Step 4: Simplify right side
    32,820.40x = 966,734,553.84
  5. Step 5: Solve for x
    x = 966,734,553.84/32,820.40
  6. Step 6: Final answer
    x = 29,455.29

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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.