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Finding the Fourth Proportional to 56,697.24, 78,233.88 and 34,031.43

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Solution

The fourth proportional to 56,697.24, 78,233.88 and 34,031.43 is: 46,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,697.24 : 78,233.88 = 34,031.43 : x
  2. Step 2: Convert to fraction form
    56,697.24/78,233.88 = 34,031.43/x
  3. Step 3: Cross multiply
    56,697.24x = 78,233.88 × 34,031.43
  4. Step 4: Simplify right side
    56,697.24x = 2,662,410,810.85
  5. Step 5: Solve for x
    x = 2,662,410,810.85/56,697.24
  6. Step 6: Final answer
    x = 46,958.38

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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.