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Finding the Fourth Proportional to 31,410.51, 47,108.48 and 9,217.94

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Solution

The fourth proportional to 31,410.51, 47,108.48 and 9,217.94 is: 13,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,410.51 : 47,108.48 = 9,217.94 : x
  2. Step 2: Convert to fraction form
    31,410.51/47,108.48 = 9,217.94/x
  3. Step 3: Cross multiply
    31,410.51x = 47,108.48 × 9,217.94
  4. Step 4: Simplify right side
    31,410.51x = 434,242,860.50
  5. Step 5: Solve for x
    x = 434,242,860.50/31,410.51
  6. Step 6: Final answer
    x = 13,824.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.