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Finding the Fourth Proportional to 49,097.98, 67,758.11 and 36,977.08

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Solution

The fourth proportional to 49,097.98, 67,758.11 and 36,977.08 is: 51,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,097.98 : 67,758.11 = 36,977.08 : x
  2. Step 2: Convert to fraction form
    49,097.98/67,758.11 = 36,977.08/x
  3. Step 3: Cross multiply
    49,097.98x = 67,758.11 × 36,977.08
  4. Step 4: Simplify right side
    49,097.98x = 2,505,496,977.17
  5. Step 5: Solve for x
    x = 2,505,496,977.17/49,097.98
  6. Step 6: Final answer
    x = 51,030.55

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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.