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Finding the Fourth Proportional to 31,808.20, 47,712.30 and 18,675.40

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Solution

The fourth proportional to 31,808.20, 47,712.30 and 18,675.40 is: 28,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.20 : 47,712.30 = 18,675.40 : x
  2. Step 2: Convert to fraction form
    31,808.20/47,712.30 = 18,675.40/x
  3. Step 3: Cross multiply
    31,808.20x = 47,712.30 × 18,675.40
  4. Step 4: Simplify right side
    31,808.20x = 891,046,287.42
  5. Step 5: Solve for x
    x = 891,046,287.42/31,808.20
  6. Step 6: Final answer
    x = 28,013.10

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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.