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Finding the Fourth Proportional to 32,197.42, 48,309.42 and 14,176.39

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Solution

The fourth proportional to 32,197.42, 48,309.42 and 14,176.39 is: 21,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.42 : 48,309.42 = 14,176.39 : x
  2. Step 2: Convert to fraction form
    32,197.42/48,309.42 = 14,176.39/x
  3. Step 3: Cross multiply
    32,197.42x = 48,309.42 × 14,176.39
  4. Step 4: Simplify right side
    32,197.42x = 684,853,178.59
  5. Step 5: Solve for x
    x = 684,853,178.59/32,197.42
  6. Step 6: Final answer
    x = 21,270.44

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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.