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Finding the Fourth Proportional to 32,956.32, 49,429.44 and 9,577.92

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Solution

The fourth proportional to 32,956.32, 49,429.44 and 9,577.92 is: 14,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,956.32 : 49,429.44 = 9,577.92 : x
  2. Step 2: Convert to fraction form
    32,956.32/49,429.44 = 9,577.92/x
  3. Step 3: Cross multiply
    32,956.32x = 49,429.44 × 9,577.92
  4. Step 4: Simplify right side
    32,956.32x = 473,431,221.96
  5. Step 5: Solve for x
    x = 473,431,221.96/32,956.32
  6. Step 6: Final answer
    x = 14,365.42

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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.