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Finding the Fourth Proportional to 43,706.52, 60,311.79 and 24,840

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Solution

The fourth proportional to 43,706.52, 60,311.79 and 24,840 is: 34,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,706.52 : 60,311.79 = 24,840 : x
  2. Step 2: Convert to fraction form
    43,706.52/60,311.79 = 24,840/x
  3. Step 3: Cross multiply
    43,706.52x = 60,311.79 × 24,840
  4. Step 4: Simplify right side
    43,706.52x = 1,498,144,863.60
  5. Step 5: Solve for x
    x = 1,498,144,863.60/43,706.52
  6. Step 6: Final answer
    x = 34,277.38

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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.