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Finding the Fourth Proportional to 60,772, 83,868.24 and 34,276

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Solution

The fourth proportional to 60,772, 83,868.24 and 34,276 is: 47,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,772 : 83,868.24 = 34,276 : x
  2. Step 2: Convert to fraction form
    60,772/83,868.24 = 34,276/x
  3. Step 3: Cross multiply
    60,772x = 83,868.24 × 34,276
  4. Step 4: Simplify right side
    60,772x = 2,874,667,794.24
  5. Step 5: Solve for x
    x = 2,874,667,794.24/60,772
  6. Step 6: Final answer
    x = 47,302.50

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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.