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Finding the Fourth Proportional to 31,524.72, 47,287.08 and 12,804.72

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Solution

The fourth proportional to 31,524.72, 47,287.08 and 12,804.72 is: 19,207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.72 : 47,287.08 = 12,804.72 : x
  2. Step 2: Convert to fraction form
    31,524.72/47,287.08 = 12,804.72/x
  3. Step 3: Cross multiply
    31,524.72x = 47,287.08 × 12,804.72
  4. Step 4: Simplify right side
    31,524.72x = 605,497,819.02
  5. Step 5: Solve for x
    x = 605,497,819.02/31,524.72
  6. Step 6: Final answer
    x = 19,207.08

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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.