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Finding the Fourth Proportional to 56,481.77, 77,880.92 and 36,036.47

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Solution

The fourth proportional to 56,481.77, 77,880.92 and 36,036.47 is: 49,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,481.77 : 77,880.92 = 36,036.47 : x
  2. Step 2: Convert to fraction form
    56,481.77/77,880.92 = 36,036.47/x
  3. Step 3: Cross multiply
    56,481.77x = 77,880.92 × 36,036.47
  4. Step 4: Simplify right side
    56,481.77x = 2,806,553,137.84
  5. Step 5: Solve for x
    x = 2,806,553,137.84/56,481.77
  6. Step 6: Final answer
    x = 49,689.54

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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.