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Finding the Fourth Proportional to 105,802.75, 158,713.44 and 39,243.61

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Solution

The fourth proportional to 105,802.75, 158,713.44 and 39,243.61 is: 58,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,802.75 : 158,713.44 = 39,243.61 : x
  2. Step 2: Convert to fraction form
    105,802.75/158,713.44 = 39,243.61/x
  3. Step 3: Cross multiply
    105,802.75x = 158,713.44 × 39,243.61
  4. Step 4: Simplify right side
    105,802.75x = 6,228,488,341.12
  5. Step 5: Solve for x
    x = 6,228,488,341.12/105,802.75
  6. Step 6: Final answer
    x = 58,868.87

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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.