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Finding the Fourth Proportional to 34,089, 47,047.14 and 19,187.88

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Solution

The fourth proportional to 34,089, 47,047.14 and 19,187.88 is: 26,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,089 : 47,047.14 = 19,187.88 : x
  2. Step 2: Convert to fraction form
    34,089/47,047.14 = 19,187.88/x
  3. Step 3: Cross multiply
    34,089x = 47,047.14 × 19,187.88
  4. Step 4: Simplify right side
    34,089x = 902,734,876.66
  5. Step 5: Solve for x
    x = 902,734,876.66/34,089
  6. Step 6: Final answer
    x = 26,481.71

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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.