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Finding the Fourth Proportional to 32,874.50, 45,367.53 and 17,970.50

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Solution

The fourth proportional to 32,874.50, 45,367.53 and 17,970.50 is: 24,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.50 : 45,367.53 = 17,970.50 : x
  2. Step 2: Convert to fraction form
    32,874.50/45,367.53 = 17,970.50/x
  3. Step 3: Cross multiply
    32,874.50x = 45,367.53 × 17,970.50
  4. Step 4: Simplify right side
    32,874.50x = 815,277,197.87
  5. Step 5: Solve for x
    x = 815,277,197.87/32,874.50
  6. Step 6: Final answer
    x = 24,799.68

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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.