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Finding the Fourth Proportional to 56,517.71, 77,978.45 and 36,386.24

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Solution

The fourth proportional to 56,517.71, 77,978.45 and 36,386.24 is: 50,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,517.71 : 77,978.45 = 36,386.24 : x
  2. Step 2: Convert to fraction form
    56,517.71/77,978.45 = 36,386.24/x
  3. Step 3: Cross multiply
    56,517.71x = 77,978.45 × 36,386.24
  4. Step 4: Simplify right side
    56,517.71x = 2,837,342,297.60
  5. Step 5: Solve for x
    x = 2,837,342,297.60/56,517.71
  6. Step 6: Final answer
    x = 50,202.72

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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.