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Finding the Fourth Proportional to 50,510.14, 69,701.88 and 27,539.46

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Solution

The fourth proportional to 50,510.14, 69,701.88 and 27,539.46 is: 38,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,510.14 : 69,701.88 = 27,539.46 : x
  2. Step 2: Convert to fraction form
    50,510.14/69,701.88 = 27,539.46/x
  3. Step 3: Cross multiply
    50,510.14x = 69,701.88 × 27,539.46
  4. Step 4: Simplify right side
    50,510.14x = 1,919,552,136.18
  5. Step 5: Solve for x
    x = 1,919,552,136.18/50,510.14
  6. Step 6: Final answer
    x = 38,003.30

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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.