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Finding the Fourth Proportional to 59,477, 82,078.26 and 32,981

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Solution

The fourth proportional to 59,477, 82,078.26 and 32,981 is: 45,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,477 : 82,078.26 = 32,981 : x
  2. Step 2: Convert to fraction form
    59,477/82,078.26 = 32,981/x
  3. Step 3: Cross multiply
    59,477x = 82,078.26 × 32,981
  4. Step 4: Simplify right side
    59,477x = 2,707,023,093.06
  5. Step 5: Solve for x
    x = 2,707,023,093.06/59,477
  6. Step 6: Final answer
    x = 45,513.78

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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.