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Finding the Fourth Proportional to 32,078.16, 48,115.08 and 11,298.96

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Solution

The fourth proportional to 32,078.16, 48,115.08 and 11,298.96 is: 16,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.16 : 48,115.08 = 11,298.96 : x
  2. Step 2: Convert to fraction form
    32,078.16/48,115.08 = 11,298.96/x
  3. Step 3: Cross multiply
    32,078.16x = 48,115.08 × 11,298.96
  4. Step 4: Simplify right side
    32,078.16x = 543,650,364.32
  5. Step 5: Solve for x
    x = 543,650,364.32/32,078.16
  6. Step 6: Final answer
    x = 16,947.68

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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.