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Finding the Fourth Proportional to 38,197, 52,711.86 and 21,429.64

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Solution

The fourth proportional to 38,197, 52,711.86 and 21,429.64 is: 29,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197 : 52,711.86 = 21,429.64 : x
  2. Step 2: Convert to fraction form
    38,197/52,711.86 = 21,429.64/x
  3. Step 3: Cross multiply
    38,197x = 52,711.86 × 21,429.64
  4. Step 4: Simplify right side
    38,197x = 1,129,596,183.53
  5. Step 5: Solve for x
    x = 1,129,596,183.53/38,197
  6. Step 6: Final answer
    x = 29,572.90

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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.