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Finding the Fourth Proportional to 49,796.94, 74,695.14 and 28,723.32

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Solution

The fourth proportional to 49,796.94, 74,695.14 and 28,723.32 is: 43,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,796.94 : 74,695.14 = 28,723.32 : x
  2. Step 2: Convert to fraction form
    49,796.94/74,695.14 = 28,723.32/x
  3. Step 3: Cross multiply
    49,796.94x = 74,695.14 × 28,723.32
  4. Step 4: Simplify right side
    49,796.94x = 2,145,492,408.66
  5. Step 5: Solve for x
    x = 2,145,492,408.66/49,796.94
  6. Step 6: Final answer
    x = 43,084.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.