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Finding the Fourth Proportional to 44,000, 60,720 and 24,128

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Solution

The fourth proportional to 44,000, 60,720 and 24,128 is: 33,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,000 : 60,720 = 24,128 : x
  2. Step 2: Convert to fraction form
    44,000/60,720 = 24,128/x
  3. Step 3: Cross multiply
    44,000x = 60,720 × 24,128
  4. Step 4: Simplify right side
    44,000x = 1,465,052,160
  5. Step 5: Solve for x
    x = 1,465,052,160/44,000
  6. Step 6: Final answer
    x = 33,296.64

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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.