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Finding the Fourth Proportional to 27,265.30, 40,892.55 and 13,225.30

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Solution

The fourth proportional to 27,265.30, 40,892.55 and 13,225.30 is: 19,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,265.30 : 40,892.55 = 13,225.30 : x
  2. Step 2: Convert to fraction form
    27,265.30/40,892.55 = 13,225.30/x
  3. Step 3: Cross multiply
    27,265.30x = 40,892.55 × 13,225.30
  4. Step 4: Simplify right side
    27,265.30x = 540,816,241.52
  5. Step 5: Solve for x
    x = 540,816,241.52/27,265.30
  6. Step 6: Final answer
    x = 19,835.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.