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Finding the Fourth Proportional to 32,195, 44,419.32 and 20,270.24

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Solution

The fourth proportional to 32,195, 44,419.32 and 20,270.24 is: 27,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,195 : 44,419.32 = 20,270.24 : x
  2. Step 2: Convert to fraction form
    32,195/44,419.32 = 20,270.24/x
  3. Step 3: Cross multiply
    32,195x = 44,419.32 × 20,270.24
  4. Step 4: Simplify right side
    32,195x = 900,390,277.04
  5. Step 5: Solve for x
    x = 900,390,277.04/32,195
  6. Step 6: Final answer
    x = 27,966.77

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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.