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Finding the Fourth Proportional to 34,598.16, 47,747.88 and 19,694.16

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Solution

The fourth proportional to 34,598.16, 47,747.88 and 19,694.16 is: 27,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,598.16 : 47,747.88 = 19,694.16 : x
  2. Step 2: Convert to fraction form
    34,598.16/47,747.88 = 19,694.16/x
  3. Step 3: Cross multiply
    34,598.16x = 47,747.88 × 19,694.16
  4. Step 4: Simplify right side
    34,598.16x = 940,354,388.38
  5. Step 5: Solve for x
    x = 940,354,388.38/34,598.16
  6. Step 6: Final answer
    x = 27,179.32

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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.