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Finding the Fourth Proportional to 32,778.64, 49,166.70 and 9,405.08

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Solution

The fourth proportional to 32,778.64, 49,166.70 and 9,405.08 is: 14,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778.64 : 49,166.70 = 9,405.08 : x
  2. Step 2: Convert to fraction form
    32,778.64/49,166.70 = 9,405.08/x
  3. Step 3: Cross multiply
    32,778.64x = 49,166.70 × 9,405.08
  4. Step 4: Simplify right side
    32,778.64x = 462,416,650.11
  5. Step 5: Solve for x
    x = 462,416,650.11/32,778.64
  6. Step 6: Final answer
    x = 14,107.25

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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.