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Finding the Fourth Proportional to 47,566.86, 71,284.64 and 35,867.22

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Solution

The fourth proportional to 47,566.86, 71,284.64 and 35,867.22 is: 53,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,566.86 : 71,284.64 = 35,867.22 : x
  2. Step 2: Convert to fraction form
    47,566.86/71,284.64 = 35,867.22/x
  3. Step 3: Cross multiply
    47,566.86x = 71,284.64 × 35,867.22
  4. Step 4: Simplify right side
    47,566.86x = 2,556,781,865.50
  5. Step 5: Solve for x
    x = 2,556,781,865.50/47,566.86
  6. Step 6: Final answer
    x = 53,751.33

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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.