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Finding the Fourth Proportional to 89,068, 122,913.84 and 49,324

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Solution

The fourth proportional to 89,068, 122,913.84 and 49,324 is: 68,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,068 : 122,913.84 = 49,324 : x
  2. Step 2: Convert to fraction form
    89,068/122,913.84 = 49,324/x
  3. Step 3: Cross multiply
    89,068x = 122,913.84 × 49,324
  4. Step 4: Simplify right side
    89,068x = 6,062,602,244.16
  5. Step 5: Solve for x
    x = 6,062,602,244.16/89,068
  6. Step 6: Final answer
    x = 68,067.12

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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.