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Finding the Fourth Proportional to 50,636.12, 69,881.94 and 27,977.10

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Solution

The fourth proportional to 50,636.12, 69,881.94 and 27,977.10 is: 38,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,636.12 : 69,881.94 = 27,977.10 : x
  2. Step 2: Convert to fraction form
    50,636.12/69,881.94 = 27,977.10/x
  3. Step 3: Cross multiply
    50,636.12x = 69,881.94 × 27,977.10
  4. Step 4: Simplify right side
    50,636.12x = 1,955,094,023.57
  5. Step 5: Solve for x
    x = 1,955,094,023.57/50,636.12
  6. Step 6: Final answer
    x = 38,610.66

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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.