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Finding the Fourth Proportional to 89,857, 124,002.66 and 50,113

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Solution

The fourth proportional to 89,857, 124,002.66 and 50,113 is: 69,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,857 : 124,002.66 = 50,113 : x
  2. Step 2: Convert to fraction form
    89,857/124,002.66 = 50,113/x
  3. Step 3: Cross multiply
    89,857x = 124,002.66 × 50,113
  4. Step 4: Simplify right side
    89,857x = 6,214,145,300.58
  5. Step 5: Solve for x
    x = 6,214,145,300.58/89,857
  6. Step 6: Final answer
    x = 69,155.94

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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.