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Finding the Fourth Proportional to 32,314.32, 48,466 and 8,935.29

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Solution

The fourth proportional to 32,314.32, 48,466 and 8,935.29 is: 13,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,314.32 : 48,466 = 8,935.29 : x
  2. Step 2: Convert to fraction form
    32,314.32/48,466 = 8,935.29/x
  3. Step 3: Cross multiply
    32,314.32x = 48,466 × 8,935.29
  4. Step 4: Simplify right side
    32,314.32x = 433,057,765.14
  5. Step 5: Solve for x
    x = 433,057,765.14/32,314.32
  6. Step 6: Final answer
    x = 13,401.42

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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.