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Finding the Fourth Proportional to 44,365, 61,224.24 and 24,493

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Solution

The fourth proportional to 44,365, 61,224.24 and 24,493 is: 33,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,365 : 61,224.24 = 24,493 : x
  2. Step 2: Convert to fraction form
    44,365/61,224.24 = 24,493/x
  3. Step 3: Cross multiply
    44,365x = 61,224.24 × 24,493
  4. Step 4: Simplify right side
    44,365x = 1,499,565,310.32
  5. Step 5: Solve for x
    x = 1,499,565,310.32/44,365
  6. Step 6: Final answer
    x = 33,800.64

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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.