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Finding the Fourth Proportional to 32,097.88, 44,299.20 and 17,951.50

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Solution

The fourth proportional to 32,097.88, 44,299.20 and 17,951.50 is: 24,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.88 : 44,299.20 = 17,951.50 : x
  2. Step 2: Convert to fraction form
    32,097.88/44,299.20 = 17,951.50/x
  3. Step 3: Cross multiply
    32,097.88x = 44,299.20 × 17,951.50
  4. Step 4: Simplify right side
    32,097.88x = 795,237,088.80
  5. Step 5: Solve for x
    x = 795,237,088.80/32,097.88
  6. Step 6: Final answer
    x = 24,775.38

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1.5x scale

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.