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Finding the Fourth Proportional to 105,842.64, 158,765.58 and 26,958.36

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Solution

The fourth proportional to 105,842.64, 158,765.58 and 26,958.36 is: 40,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,842.64 : 158,765.58 = 26,958.36 : x
  2. Step 2: Convert to fraction form
    105,842.64/158,765.58 = 26,958.36/x
  3. Step 3: Cross multiply
    105,842.64x = 158,765.58 × 26,958.36
  4. Step 4: Simplify right side
    105,842.64x = 4,280,059,661.25
  5. Step 5: Solve for x
    x = 4,280,059,661.25/105,842.64
  6. Step 6: Final answer
    x = 40,437.95

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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.