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Finding the Fourth Proportional to 31,412.03, 47,125 and 10,351.22

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Solution

The fourth proportional to 31,412.03, 47,125 and 10,351.22 is: 15,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.03 : 47,125 = 10,351.22 : x
  2. Step 2: Convert to fraction form
    31,412.03/47,125 = 10,351.22/x
  3. Step 3: Cross multiply
    31,412.03x = 47,125 × 10,351.22
  4. Step 4: Simplify right side
    31,412.03x = 487,801,242.50
  5. Step 5: Solve for x
    x = 487,801,242.50/31,412.03
  6. Step 6: Final answer
    x = 15,529.12

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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.