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Finding the Fourth Proportional to 32,197.50, 48,296.25 and 13,729.50

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Solution

The fourth proportional to 32,197.50, 48,296.25 and 13,729.50 is: 20,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.50 : 48,296.25 = 13,729.50 : x
  2. Step 2: Convert to fraction form
    32,197.50/48,296.25 = 13,729.50/x
  3. Step 3: Cross multiply
    32,197.50x = 48,296.25 × 13,729.50
  4. Step 4: Simplify right side
    32,197.50x = 663,083,364.38
  5. Step 5: Solve for x
    x = 663,083,364.38/32,197.50
  6. Step 6: Final answer
    x = 20,594.25

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1.5x scale

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.