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Finding the Fourth Proportional to 32,679.40, 49,020.96 and 9,304

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Solution

The fourth proportional to 32,679.40, 49,020.96 and 9,304 is: 13,956.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,679.40 : 49,020.96 = 9,304 : x
  2. Step 2: Convert to fraction form
    32,679.40/49,020.96 = 9,304/x
  3. Step 3: Cross multiply
    32,679.40x = 49,020.96 × 9,304
  4. Step 4: Simplify right side
    32,679.40x = 456,091,011.84
  5. Step 5: Solve for x
    x = 456,091,011.84/32,679.40
  6. Step 6: Final answer
    x = 13,956.53

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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.