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Finding the Fourth Proportional to 31,339.56, 47,005.02 and 11,615.08

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Solution

The fourth proportional to 31,339.56, 47,005.02 and 11,615.08 is: 17,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,339.56 : 47,005.02 = 11,615.08 : x
  2. Step 2: Convert to fraction form
    31,339.56/47,005.02 = 11,615.08/x
  3. Step 3: Cross multiply
    31,339.56x = 47,005.02 × 11,615.08
  4. Step 4: Simplify right side
    31,339.56x = 545,967,067.70
  5. Step 5: Solve for x
    x = 545,967,067.70/31,339.56
  6. Step 6: Final answer
    x = 17,421.02

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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.