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Finding the Fourth Proportional to 105,795.82, 158,693.03 and 26,909.38

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Solution

The fourth proportional to 105,795.82, 158,693.03 and 26,909.38 is: 40,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,795.82 : 158,693.03 = 26,909.38 : x
  2. Step 2: Convert to fraction form
    105,795.82/158,693.03 = 26,909.38/x
  3. Step 3: Cross multiply
    105,795.82x = 158,693.03 × 26,909.38
  4. Step 4: Simplify right side
    105,795.82x = 4,270,330,119.61
  5. Step 5: Solve for x
    x = 4,270,330,119.61/105,795.82
  6. Step 6: Final answer
    x = 40,363.89

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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.