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Finding the Fourth Proportional to 32,140.94, 48,224.08 and 9,956.04

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Solution

The fourth proportional to 32,140.94, 48,224.08 and 9,956.04 is: 14,937.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,140.94 : 48,224.08 = 9,956.04 : x
  2. Step 2: Convert to fraction form
    32,140.94/48,224.08 = 9,956.04/x
  3. Step 3: Cross multiply
    32,140.94x = 48,224.08 × 9,956.04
  4. Step 4: Simplify right side
    32,140.94x = 480,120,578.54
  5. Step 5: Solve for x
    x = 480,120,578.54/32,140.94
  6. Step 6: Final answer
    x = 14,937.98

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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.