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Finding the Fourth Proportional to 31,508.97, 47,263.44 and 9,320.61

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Solution

The fourth proportional to 31,508.97, 47,263.44 and 9,320.61 is: 13,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,508.97 : 47,263.44 = 9,320.61 : x
  2. Step 2: Convert to fraction form
    31,508.97/47,263.44 = 9,320.61/x
  3. Step 3: Cross multiply
    31,508.97x = 47,263.44 × 9,320.61
  4. Step 4: Simplify right side
    31,508.97x = 440,524,091.50
  5. Step 5: Solve for x
    x = 440,524,091.50/31,508.97
  6. Step 6: Final answer
    x = 13,980.91

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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.