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Finding the Fourth Proportional to 27,477.62, 37,919.17 and 14,902.42

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Solution

The fourth proportional to 27,477.62, 37,919.17 and 14,902.42 is: 20,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.62 : 37,919.17 = 14,902.42 : x
  2. Step 2: Convert to fraction form
    27,477.62/37,919.17 = 14,902.42/x
  3. Step 3: Cross multiply
    27,477.62x = 37,919.17 × 14,902.42
  4. Step 4: Simplify right side
    27,477.62x = 565,087,397.39
  5. Step 5: Solve for x
    x = 565,087,397.39/27,477.62
  6. Step 6: Final answer
    x = 20,565.37

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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.