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Finding the Fourth Proportional to 49,135.64, 67,807.44 and 27,916.12

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Solution

The fourth proportional to 49,135.64, 67,807.44 and 27,916.12 is: 38,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,135.64 : 67,807.44 = 27,916.12 : x
  2. Step 2: Convert to fraction form
    49,135.64/67,807.44 = 27,916.12/x
  3. Step 3: Cross multiply
    49,135.64x = 67,807.44 × 27,916.12
  4. Step 4: Simplify right side
    49,135.64x = 1,892,920,631.93
  5. Step 5: Solve for x
    x = 1,892,920,631.93/49,135.64
  6. Step 6: Final answer
    x = 38,524.39

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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.