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Finding the Fourth Proportional to 89,080.54, 122,931 and 48,796

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Solution

The fourth proportional to 89,080.54, 122,931 and 48,796 is: 67,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,080.54 : 122,931 = 48,796 : x
  2. Step 2: Convert to fraction form
    89,080.54/122,931 = 48,796/x
  3. Step 3: Cross multiply
    89,080.54x = 122,931 × 48,796
  4. Step 4: Simplify right side
    89,080.54x = 5,998,541,076
  5. Step 5: Solve for x
    x = 5,998,541,076/89,080.54
  6. Step 6: Final answer
    x = 67,338.40

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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.