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Finding the Fourth Proportional to 31,405.18, 47,108.04 and 9,218.92

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Solution

The fourth proportional to 31,405.18, 47,108.04 and 9,218.92 is: 13,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405.18 : 47,108.04 = 9,218.92 : x
  2. Step 2: Convert to fraction form
    31,405.18/47,108.04 = 9,218.92/x
  3. Step 3: Cross multiply
    31,405.18x = 47,108.04 × 9,218.92
  4. Step 4: Simplify right side
    31,405.18x = 434,285,252.12
  5. Step 5: Solve for x
    x = 434,285,252.12/31,405.18
  6. Step 6: Final answer
    x = 13,828.46

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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.