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Finding the Fourth Proportional to 31,734.52, 47,590.80 and 13,009.24

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Solution

The fourth proportional to 31,734.52, 47,590.80 and 13,009.24 is: 19,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,734.52 : 47,590.80 = 13,009.24 : x
  2. Step 2: Convert to fraction form
    31,734.52/47,590.80 = 13,009.24/x
  3. Step 3: Cross multiply
    31,734.52x = 47,590.80 × 13,009.24
  4. Step 4: Simplify right side
    31,734.52x = 619,120,138.99
  5. Step 5: Solve for x
    x = 619,120,138.99/31,734.52
  6. Step 6: Final answer
    x = 19,509.36

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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.