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Finding the Fourth Proportional to 48,494.54, 66,899.87 and 31,497.58

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Solution

The fourth proportional to 48,494.54, 66,899.87 and 31,497.58 is: 43,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,494.54 : 66,899.87 = 31,497.58 : x
  2. Step 2: Convert to fraction form
    48,494.54/66,899.87 = 31,497.58/x
  3. Step 3: Cross multiply
    48,494.54x = 66,899.87 × 31,497.58
  4. Step 4: Simplify right side
    48,494.54x = 2,107,184,007.31
  5. Step 5: Solve for x
    x = 2,107,184,007.31/48,494.54
  6. Step 6: Final answer
    x = 43,451.98

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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.