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Finding the Fourth Proportional to 31,808.10, 47,712.15 and 16,256.10

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Solution

The fourth proportional to 31,808.10, 47,712.15 and 16,256.10 is: 24,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.10 : 47,712.15 = 16,256.10 : x
  2. Step 2: Convert to fraction form
    31,808.10/47,712.15 = 16,256.10/x
  3. Step 3: Cross multiply
    31,808.10x = 47,712.15 × 16,256.10
  4. Step 4: Simplify right side
    31,808.10x = 775,613,481.62
  5. Step 5: Solve for x
    x = 775,613,481.62/31,808.10
  6. Step 6: Final answer
    x = 24,384.15

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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.