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Finding the Fourth Proportional to 32,904.80, 49,354.14 and 9,214.49

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Solution

The fourth proportional to 32,904.80, 49,354.14 and 9,214.49 is: 13,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,904.80 : 49,354.14 = 9,214.49 : x
  2. Step 2: Convert to fraction form
    32,904.80/49,354.14 = 9,214.49/x
  3. Step 3: Cross multiply
    32,904.80x = 49,354.14 × 9,214.49
  4. Step 4: Simplify right side
    32,904.80x = 454,773,229.49
  5. Step 5: Solve for x
    x = 454,773,229.49/32,904.80
  6. Step 6: Final answer
    x = 13,820.88

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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.