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Finding the Fourth Proportional to 50,978.16, 70,349.48 and 29,467.44

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Solution

The fourth proportional to 50,978.16, 70,349.48 and 29,467.44 is: 40,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,978.16 : 70,349.48 = 29,467.44 : x
  2. Step 2: Convert to fraction form
    50,978.16/70,349.48 = 29,467.44/x
  3. Step 3: Cross multiply
    50,978.16x = 70,349.48 × 29,467.44
  4. Step 4: Simplify right side
    50,978.16x = 2,073,019,080.93
  5. Step 5: Solve for x
    x = 2,073,019,080.93/50,978.16
  6. Step 6: Final answer
    x = 40,664.85

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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.