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Finding the Fourth Proportional to 48,770.94, 73,086.18 and 28,733.16

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Solution

The fourth proportional to 48,770.94, 73,086.18 and 28,733.16 is: 43,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,770.94 : 73,086.18 = 28,733.16 : x
  2. Step 2: Convert to fraction form
    48,770.94/73,086.18 = 28,733.16/x
  3. Step 3: Cross multiply
    48,770.94x = 73,086.18 × 28,733.16
  4. Step 4: Simplify right side
    48,770.94x = 2,099,996,903.73
  5. Step 5: Solve for x
    x = 2,099,996,903.73/48,770.94
  6. Step 6: Final answer
    x = 43,058.36

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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.