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Finding the Fourth Proportional to 56,257.44, 77,564.70 and 36,078.72

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Solution

The fourth proportional to 56,257.44, 77,564.70 and 36,078.72 is: 49,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,257.44 : 77,564.70 = 36,078.72 : x
  2. Step 2: Convert to fraction form
    56,257.44/77,564.70 = 36,078.72/x
  3. Step 3: Cross multiply
    56,257.44x = 77,564.70 × 36,078.72
  4. Step 4: Simplify right side
    56,257.44x = 2,798,435,093.18
  5. Step 5: Solve for x
    x = 2,798,435,093.18/56,257.44
  6. Step 6: Final answer
    x = 49,743.38

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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.