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Finding the Fourth Proportional to 34,580.97, 47,721.27 and 19,475.10

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Solution

The fourth proportional to 34,580.97, 47,721.27 and 19,475.10 is: 26,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,580.97 : 47,721.27 = 19,475.10 : x
  2. Step 2: Convert to fraction form
    34,580.97/47,721.27 = 19,475.10/x
  3. Step 3: Cross multiply
    34,580.97x = 47,721.27 × 19,475.10
  4. Step 4: Simplify right side
    34,580.97x = 929,376,505.38
  5. Step 5: Solve for x
    x = 929,376,505.38/34,580.97
  6. Step 6: Final answer
    x = 26,875.37

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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.