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Finding the Fourth Proportional to 32,517.64, 48,771.33 and 10,328.10

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Solution

The fourth proportional to 32,517.64, 48,771.33 and 10,328.10 is: 15,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517.64 : 48,771.33 = 10,328.10 : x
  2. Step 2: Convert to fraction form
    32,517.64/48,771.33 = 10,328.10/x
  3. Step 3: Cross multiply
    32,517.64x = 48,771.33 × 10,328.10
  4. Step 4: Simplify right side
    32,517.64x = 503,714,929.52
  5. Step 5: Solve for x
    x = 503,714,929.52/32,517.64
  6. Step 6: Final answer
    x = 15,490.51

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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.