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Finding the Fourth Proportional to 31,734.03, 47,600.70 and 13,009.89

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Solution

The fourth proportional to 31,734.03, 47,600.70 and 13,009.89 is: 19,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,734.03 : 47,600.70 = 13,009.89 : x
  2. Step 2: Convert to fraction form
    31,734.03/47,600.70 = 13,009.89/x
  3. Step 3: Cross multiply
    31,734.03x = 47,600.70 × 13,009.89
  4. Step 4: Simplify right side
    31,734.03x = 619,279,870.92
  5. Step 5: Solve for x
    x = 619,279,870.92/31,734.03
  6. Step 6: Final answer
    x = 19,514.69

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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.