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Finding the Fourth Proportional to 31,980.16, 47,970.35 and 9,793.44

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Solution

The fourth proportional to 31,980.16, 47,970.35 and 9,793.44 is: 14,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,980.16 : 47,970.35 = 9,793.44 : x
  2. Step 2: Convert to fraction form
    31,980.16/47,970.35 = 9,793.44/x
  3. Step 3: Cross multiply
    31,980.16x = 47,970.35 × 9,793.44
  4. Step 4: Simplify right side
    31,980.16x = 469,794,744.50
  5. Step 5: Solve for x
    x = 469,794,744.50/31,980.16
  6. Step 6: Final answer
    x = 14,690.19

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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.