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Finding the Fourth Proportional to 32,916.30, 49,385.97 and 9,544.14

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Solution

The fourth proportional to 32,916.30, 49,385.97 and 9,544.14 is: 14,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,916.30 : 49,385.97 = 9,544.14 : x
  2. Step 2: Convert to fraction form
    32,916.30/49,385.97 = 9,544.14/x
  3. Step 3: Cross multiply
    32,916.30x = 49,385.97 × 9,544.14
  4. Step 4: Simplify right side
    32,916.30x = 471,346,611.72
  5. Step 5: Solve for x
    x = 471,346,611.72/32,916.30
  6. Step 6: Final answer
    x = 14,319.55

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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.