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Finding the Fourth Proportional to 31,364.04, 47,046.33 and 7,990.50

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Solution

The fourth proportional to 31,364.04, 47,046.33 and 7,990.50 is: 11,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,364.04 : 47,046.33 = 7,990.50 : x
  2. Step 2: Convert to fraction form
    31,364.04/47,046.33 = 7,990.50/x
  3. Step 3: Cross multiply
    31,364.04x = 47,046.33 × 7,990.50
  4. Step 4: Simplify right side
    31,364.04x = 375,923,699.87
  5. Step 5: Solve for x
    x = 375,923,699.87/31,364.04
  6. Step 6: Final answer
    x = 11,985.82

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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.