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Finding the Fourth Proportional to 31,990.40, 47,985.60 and 11,211.20

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Solution

The fourth proportional to 31,990.40, 47,985.60 and 11,211.20 is: 16,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990.40 : 47,985.60 = 11,211.20 : x
  2. Step 2: Convert to fraction form
    31,990.40/47,985.60 = 11,211.20/x
  3. Step 3: Cross multiply
    31,990.40x = 47,985.60 × 11,211.20
  4. Step 4: Simplify right side
    31,990.40x = 537,976,158.72
  5. Step 5: Solve for x
    x = 537,976,158.72/31,990.40
  6. Step 6: Final answer
    x = 16,816.80

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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.