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Finding the Fourth Proportional to 32,779.20, 49,170.24 and 9,405.12

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Solution

The fourth proportional to 32,779.20, 49,170.24 and 9,405.12 is: 14,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,779.20 : 49,170.24 = 9,405.12 : x
  2. Step 2: Convert to fraction form
    32,779.20/49,170.24 = 9,405.12/x
  3. Step 3: Cross multiply
    32,779.20x = 49,170.24 × 9,405.12
  4. Step 4: Simplify right side
    32,779.20x = 462,452,007.63
  5. Step 5: Solve for x
    x = 462,452,007.63/32,779.20
  6. Step 6: Final answer
    x = 14,108.09

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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.