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Finding the Fourth Proportional to 31,511.52, 47,238 and 11,775.06

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Solution

The fourth proportional to 31,511.52, 47,238 and 11,775.06 is: 17,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.52 : 47,238 = 11,775.06 : x
  2. Step 2: Convert to fraction form
    31,511.52/47,238 = 11,775.06/x
  3. Step 3: Cross multiply
    31,511.52x = 47,238 × 11,775.06
  4. Step 4: Simplify right side
    31,511.52x = 556,230,284.28
  5. Step 5: Solve for x
    x = 556,230,284.28/31,511.52
  6. Step 6: Final answer
    x = 17,651.65

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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.