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Finding the Fourth Proportional to 56,163.38, 77,505.53 and 31,012.88

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Solution

The fourth proportional to 56,163.38, 77,505.53 and 31,012.88 is: 42,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,163.38 : 77,505.53 = 31,012.88 : x
  2. Step 2: Convert to fraction form
    56,163.38/77,505.53 = 31,012.88/x
  3. Step 3: Cross multiply
    56,163.38x = 77,505.53 × 31,012.88
  4. Step 4: Simplify right side
    56,163.38x = 2,403,669,158.63
  5. Step 5: Solve for x
    x = 2,403,669,158.63/56,163.38
  6. Step 6: Final answer
    x = 42,797.80

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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.