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Finding the Fourth Proportional to 50,497.74, 69,686.87 and 27,837.11

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Solution

The fourth proportional to 50,497.74, 69,686.87 and 27,837.11 is: 38,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,497.74 : 69,686.87 = 27,837.11 : x
  2. Step 2: Convert to fraction form
    50,497.74/69,686.87 = 27,837.11/x
  3. Step 3: Cross multiply
    50,497.74x = 69,686.87 × 27,837.11
  4. Step 4: Simplify right side
    50,497.74x = 1,939,881,065.75
  5. Step 5: Solve for x
    x = 1,939,881,065.75/50,497.74
  6. Step 6: Final answer
    x = 38,415.21

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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.