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Finding the Fourth Proportional to 32,677.84, 49,016.80 and 9,304.32

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Solution

The fourth proportional to 32,677.84, 49,016.80 and 9,304.32 is: 13,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.84 : 49,016.80 = 9,304.32 : x
  2. Step 2: Convert to fraction form
    32,677.84/49,016.80 = 9,304.32/x
  3. Step 3: Cross multiply
    32,677.84x = 49,016.80 × 9,304.32
  4. Step 4: Simplify right side
    32,677.84x = 456,067,992.58
  5. Step 5: Solve for x
    x = 456,067,992.58/32,677.84
  6. Step 6: Final answer
    x = 13,956.49

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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.