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Finding the Fourth Proportional to 105,521.94, 158,284.94 and 38,927.79

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Solution

The fourth proportional to 105,521.94, 158,284.94 and 38,927.79 is: 58,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,521.94 : 158,284.94 = 38,927.79 : x
  2. Step 2: Convert to fraction form
    105,521.94/158,284.94 = 38,927.79/x
  3. Step 3: Cross multiply
    105,521.94x = 158,284.94 × 38,927.79
  4. Step 4: Simplify right side
    105,521.94x = 6,161,682,709.84
  5. Step 5: Solve for x
    x = 6,161,682,709.84/105,521.94
  6. Step 6: Final answer
    x = 58,392.43

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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.