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Finding the Fourth Proportional to 31,497.92, 47,147.04 and 17,604.80

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Solution

The fourth proportional to 31,497.92, 47,147.04 and 17,604.80 is: 26,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.92 : 47,147.04 = 17,604.80 : x
  2. Step 2: Convert to fraction form
    31,497.92/47,147.04 = 17,604.80/x
  3. Step 3: Cross multiply
    31,497.92x = 47,147.04 × 17,604.80
  4. Step 4: Simplify right side
    31,497.92x = 830,014,209.79
  5. Step 5: Solve for x
    x = 830,014,209.79/31,497.92
  6. Step 6: Final answer
    x = 26,351.40

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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.