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Finding the Fourth Proportional to 44,214, 61,015.34 and 24,342

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Solution

The fourth proportional to 44,214, 61,015.34 and 24,342 is: 33,591.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,214 : 61,015.34 = 24,342 : x
  2. Step 2: Convert to fraction form
    44,214/61,015.34 = 24,342/x
  3. Step 3: Cross multiply
    44,214x = 61,015.34 × 24,342
  4. Step 4: Simplify right side
    44,214x = 1,485,235,406.28
  5. Step 5: Solve for x
    x = 1,485,235,406.28/44,214
  6. Step 6: Final answer
    x = 33,591.97

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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.