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Finding the Fourth Proportional to 52,106.88, 71,906.76 and 28,233

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Solution

The fourth proportional to 52,106.88, 71,906.76 and 28,233 is: 38,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106.88 : 71,906.76 = 28,233 : x
  2. Step 2: Convert to fraction form
    52,106.88/71,906.76 = 28,233/x
  3. Step 3: Cross multiply
    52,106.88x = 71,906.76 × 28,233
  4. Step 4: Simplify right side
    52,106.88x = 2,030,143,555.08
  5. Step 5: Solve for x
    x = 2,030,143,555.08/52,106.88
  6. Step 6: Final answer
    x = 38,961.14

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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.