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Finding the Fourth Proportional to 32,298, 48,441.40 and 8,918.16

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Solution

The fourth proportional to 32,298, 48,441.40 and 8,918.16 is: 13,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,298 : 48,441.40 = 8,918.16 : x
  2. Step 2: Convert to fraction form
    32,298/48,441.40 = 8,918.16/x
  3. Step 3: Cross multiply
    32,298x = 48,441.40 × 8,918.16
  4. Step 4: Simplify right side
    32,298x = 432,008,155.82
  5. Step 5: Solve for x
    x = 432,008,155.82/32,298
  6. Step 6: Final answer
    x = 13,375.69

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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.