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Finding the Fourth Proportional to 27,357, 37,830.42 and 26,119.32

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Solution

The fourth proportional to 27,357, 37,830.42 and 26,119.32 is: 36,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,357 : 37,830.42 = 26,119.32 : x
  2. Step 2: Convert to fraction form
    27,357/37,830.42 = 26,119.32/x
  3. Step 3: Cross multiply
    27,357x = 37,830.42 × 26,119.32
  4. Step 4: Simplify right side
    27,357x = 988,104,845.71
  5. Step 5: Solve for x
    x = 988,104,845.71/27,357
  6. Step 6: Final answer
    x = 36,118.90

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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.