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Finding the Fourth Proportional to 76,375.88, 105,396.74 and 42,384.24

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Solution

The fourth proportional to 76,375.88, 105,396.74 and 42,384.24 is: 58,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,375.88 : 105,396.74 = 42,384.24 : x
  2. Step 2: Convert to fraction form
    76,375.88/105,396.74 = 42,384.24/x
  3. Step 3: Cross multiply
    76,375.88x = 105,396.74 × 42,384.24
  4. Step 4: Simplify right side
    76,375.88x = 4,467,160,723.38
  5. Step 5: Solve for x
    x = 4,467,160,723.38/76,375.88
  6. Step 6: Final answer
    x = 58,489.16

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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.