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Finding the Fourth Proportional to 31,730.45, 47,596.88 and 9,546.98

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Solution

The fourth proportional to 31,730.45, 47,596.88 and 9,546.98 is: 14,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,730.45 : 47,596.88 = 9,546.98 : x
  2. Step 2: Convert to fraction form
    31,730.45/47,596.88 = 9,546.98/x
  3. Step 3: Cross multiply
    31,730.45x = 47,596.88 × 9,546.98
  4. Step 4: Simplify right side
    31,730.45x = 454,406,247.31
  5. Step 5: Solve for x
    x = 454,406,247.31/31,730.45
  6. Step 6: Final answer
    x = 14,320.83

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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.