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Finding the Fourth Proportional to 27,957.71, 41,935.20 and 10,426.17

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Solution

The fourth proportional to 27,957.71, 41,935.20 and 10,426.17 is: 15,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.71 : 41,935.20 = 10,426.17 : x
  2. Step 2: Convert to fraction form
    27,957.71/41,935.20 = 10,426.17/x
  3. Step 3: Cross multiply
    27,957.71x = 41,935.20 × 10,426.17
  4. Step 4: Simplify right side
    27,957.71x = 437,223,524.18
  5. Step 5: Solve for x
    x = 437,223,524.18/27,957.71
  6. Step 6: Final answer
    x = 15,638.75

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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.