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Finding the Fourth Proportional to 34,615.68, 47,769.72 and 19,508.38

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Solution

The fourth proportional to 34,615.68, 47,769.72 and 19,508.38 is: 26,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,615.68 : 47,769.72 = 19,508.38 : x
  2. Step 2: Convert to fraction form
    34,615.68/47,769.72 = 19,508.38/x
  3. Step 3: Cross multiply
    34,615.68x = 47,769.72 × 19,508.38
  4. Step 4: Simplify right side
    34,615.68x = 931,909,850.25
  5. Step 5: Solve for x
    x = 931,909,850.25/34,615.68
  6. Step 6: Final answer
    x = 26,921.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.