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Finding the Fourth Proportional to 31,393.70, 47,106.70 and 17,351.11

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Solution

The fourth proportional to 31,393.70, 47,106.70 and 17,351.11 is: 26,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,393.70 : 47,106.70 = 17,351.11 : x
  2. Step 2: Convert to fraction form
    31,393.70/47,106.70 = 17,351.11/x
  3. Step 3: Cross multiply
    31,393.70x = 47,106.70 × 17,351.11
  4. Step 4: Simplify right side
    31,393.70x = 817,353,567.24
  5. Step 5: Solve for x
    x = 817,353,567.24/31,393.70
  6. Step 6: Final answer
    x = 26,035.59

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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.