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Finding the Fourth Proportional to 68,524, 94,563.28 and 38,716

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Solution

The fourth proportional to 68,524, 94,563.28 and 38,716 is: 53,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,524 : 94,563.28 = 38,716 : x
  2. Step 2: Convert to fraction form
    68,524/94,563.28 = 38,716/x
  3. Step 3: Cross multiply
    68,524x = 94,563.28 × 38,716
  4. Step 4: Simplify right side
    68,524x = 3,661,111,948.48
  5. Step 5: Solve for x
    x = 3,661,111,948.48/68,524
  6. Step 6: Final answer
    x = 53,428.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.