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Finding the Fourth Proportional to 56,418.36, 77,857.38 and 31,267.86

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Solution

The fourth proportional to 56,418.36, 77,857.38 and 31,267.86 is: 43,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,418.36 : 77,857.38 = 31,267.86 : x
  2. Step 2: Convert to fraction form
    56,418.36/77,857.38 = 31,267.86/x
  3. Step 3: Cross multiply
    56,418.36x = 77,857.38 × 31,267.86
  4. Step 4: Simplify right side
    56,418.36x = 2,434,433,657.81
  5. Step 5: Solve for x
    x = 2,434,433,657.81/56,418.36
  6. Step 6: Final answer
    x = 43,149.67

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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.