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Finding the Fourth Proportional to 34,538.72, 47,663.34 and 19,431.38

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Solution

The fourth proportional to 34,538.72, 47,663.34 and 19,431.38 is: 26,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538.72 : 47,663.34 = 19,431.38 : x
  2. Step 2: Convert to fraction form
    34,538.72/47,663.34 = 19,431.38/x
  3. Step 3: Cross multiply
    34,538.72x = 47,663.34 × 19,431.38
  4. Step 4: Simplify right side
    34,538.72x = 926,164,233.29
  5. Step 5: Solve for x
    x = 926,164,233.29/34,538.72
  6. Step 6: Final answer
    x = 26,815.25

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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.