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Finding the Fourth Proportional to 32,651.04, 48,947.20 and 11,860

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Solution

The fourth proportional to 32,651.04, 48,947.20 and 11,860 is: 17,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,651.04 : 48,947.20 = 11,860 : x
  2. Step 2: Convert to fraction form
    32,651.04/48,947.20 = 11,860/x
  3. Step 3: Cross multiply
    32,651.04x = 48,947.20 × 11,860
  4. Step 4: Simplify right side
    32,651.04x = 580,513,792
  5. Step 5: Solve for x
    x = 580,513,792/32,651.04
  6. Step 6: Final answer
    x = 17,779.34

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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.