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Finding the Fourth Proportional to 60,108.24, 82,954.56 and 34,956

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Solution

The fourth proportional to 60,108.24, 82,954.56 and 34,956 is: 48,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,108.24 : 82,954.56 = 34,956 : x
  2. Step 2: Convert to fraction form
    60,108.24/82,954.56 = 34,956/x
  3. Step 3: Cross multiply
    60,108.24x = 82,954.56 × 34,956
  4. Step 4: Simplify right side
    60,108.24x = 2,899,759,599.36
  5. Step 5: Solve for x
    x = 2,899,759,599.36/60,108.24
  6. Step 6: Final answer
    x = 48,242.30

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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.