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Finding the Fourth Proportional to 50,978.10, 76,479.30 and 24,661.20

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Solution

The fourth proportional to 50,978.10, 76,479.30 and 24,661.20 is: 36,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,978.10 : 76,479.30 = 24,661.20 : x
  2. Step 2: Convert to fraction form
    50,978.10/76,479.30 = 24,661.20/x
  3. Step 3: Cross multiply
    50,978.10x = 76,479.30 × 24,661.20
  4. Step 4: Simplify right side
    50,978.10x = 1,886,071,313.16
  5. Step 5: Solve for x
    x = 1,886,071,313.16/50,978.10
  6. Step 6: Final answer
    x = 36,997.68

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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.