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Finding the Fourth Proportional to 36,341, 50,154.74 and 20,209.92

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Solution

The fourth proportional to 36,341, 50,154.74 and 20,209.92 is: 27,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,341 : 50,154.74 = 20,209.92 : x
  2. Step 2: Convert to fraction form
    36,341/50,154.74 = 20,209.92/x
  3. Step 3: Cross multiply
    36,341x = 50,154.74 × 20,209.92
  4. Step 4: Simplify right side
    36,341x = 1,013,623,283.02
  5. Step 5: Solve for x
    x = 1,013,623,283.02/36,341
  6. Step 6: Final answer
    x = 27,892.00

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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.