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Finding the Fourth Proportional to 38,794.84, 58,192.26 and 18,007

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Solution

The fourth proportional to 38,794.84, 58,192.26 and 18,007 is: 27,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,794.84 : 58,192.26 = 18,007 : x
  2. Step 2: Convert to fraction form
    38,794.84/58,192.26 = 18,007/x
  3. Step 3: Cross multiply
    38,794.84x = 58,192.26 × 18,007
  4. Step 4: Simplify right side
    38,794.84x = 1,047,868,025.82
  5. Step 5: Solve for x
    x = 1,047,868,025.82/38,794.84
  6. Step 6: Final answer
    x = 27,010.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.