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Finding the Fourth Proportional to 50,492, 69,678.98 and 29,283.56

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Solution

The fourth proportional to 50,492, 69,678.98 and 29,283.56 is: 40,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,492 : 69,678.98 = 29,283.56 : x
  2. Step 2: Convert to fraction form
    50,492/69,678.98 = 29,283.56/x
  3. Step 3: Cross multiply
    50,492x = 69,678.98 × 29,283.56
  4. Step 4: Simplify right side
    50,492x = 2,040,448,591.57
  5. Step 5: Solve for x
    x = 2,040,448,591.57/50,492
  6. Step 6: Final answer
    x = 40,411.32

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