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Finding the Fourth Proportional to 27,105.60, 40,658.40 and 23,825.10

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Solution

The fourth proportional to 27,105.60, 40,658.40 and 23,825.10 is: 35,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,105.60 : 40,658.40 = 23,825.10 : x
  2. Step 2: Convert to fraction form
    27,105.60/40,658.40 = 23,825.10/x
  3. Step 3: Cross multiply
    27,105.60x = 40,658.40 × 23,825.10
  4. Step 4: Simplify right side
    27,105.60x = 968,690,445.84
  5. Step 5: Solve for x
    x = 968,690,445.84/27,105.60
  6. Step 6: Final answer
    x = 35,737.65

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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.