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Finding the Fourth Proportional to 105,932.32, 158,898.40 and 27,046.56

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Solution

The fourth proportional to 105,932.32, 158,898.40 and 27,046.56 is: 40,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,932.32 : 158,898.40 = 27,046.56 : x
  2. Step 2: Convert to fraction form
    105,932.32/158,898.40 = 27,046.56/x
  3. Step 3: Cross multiply
    105,932.32x = 158,898.40 × 27,046.56
  4. Step 4: Simplify right side
    105,932.32x = 4,297,655,109.50
  5. Step 5: Solve for x
    x = 4,297,655,109.50/105,932.32
  6. Step 6: Final answer
    x = 40,569.82

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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.