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Finding the Fourth Proportional to 28,432.70, 42,686 and 21,863.50

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Solution

The fourth proportional to 28,432.70, 42,686 and 21,863.50 is: 32,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,432.70 : 42,686 = 21,863.50 : x
  2. Step 2: Convert to fraction form
    28,432.70/42,686 = 21,863.50/x
  3. Step 3: Cross multiply
    28,432.70x = 42,686 × 21,863.50
  4. Step 4: Simplify right side
    28,432.70x = 933,265,361
  5. Step 5: Solve for x
    x = 933,265,361/28,432.70
  6. Step 6: Final answer
    x = 32,823.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.