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Finding the Fourth Proportional to 56,964.64, 85,468.82 and 40,113.80

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Solution

The fourth proportional to 56,964.64, 85,468.82 and 40,113.80 is: 60,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,964.64 : 85,468.82 = 40,113.80 : x
  2. Step 2: Convert to fraction form
    56,964.64/85,468.82 = 40,113.80/x
  3. Step 3: Cross multiply
    56,964.64x = 85,468.82 × 40,113.80
  4. Step 4: Simplify right side
    56,964.64x = 3,428,479,151.72
  5. Step 5: Solve for x
    x = 3,428,479,151.72/56,964.64
  6. Step 6: Final answer
    x = 60,186.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.