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Finding the Fourth Proportional to 48,978.96, 67,589.16 and 26,622.48

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Solution

The fourth proportional to 48,978.96, 67,589.16 and 26,622.48 is: 36,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,978.96 : 67,589.16 = 26,622.48 : x
  2. Step 2: Convert to fraction form
    48,978.96/67,589.16 = 26,622.48/x
  3. Step 3: Cross multiply
    48,978.96x = 67,589.16 × 26,622.48
  4. Step 4: Simplify right side
    48,978.96x = 1,799,391,060.32
  5. Step 5: Solve for x
    x = 1,799,391,060.32/48,978.96
  6. Step 6: Final answer
    x = 36,738.04

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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.