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Finding the Fourth Proportional to 48,596.80, 67,076.11 and 31,643.40

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Solution

The fourth proportional to 48,596.80, 67,076.11 and 31,643.40 is: 43,676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,596.80 : 67,076.11 = 31,643.40 : x
  2. Step 2: Convert to fraction form
    48,596.80/67,076.11 = 31,643.40/x
  3. Step 3: Cross multiply
    48,596.80x = 67,076.11 × 31,643.40
  4. Step 4: Simplify right side
    48,596.80x = 2,122,516,179.17
  5. Step 5: Solve for x
    x = 2,122,516,179.17/48,596.80
  6. Step 6: Final answer
    x = 43,676.05

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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.