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Finding the Fourth Proportional to 41,130.84, 56,670.28 and 27,678.74

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Solution

The fourth proportional to 41,130.84, 56,670.28 and 27,678.74 is: 38,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,130.84 : 56,670.28 = 27,678.74 : x
  2. Step 2: Convert to fraction form
    41,130.84/56,670.28 = 27,678.74/x
  3. Step 3: Cross multiply
    41,130.84x = 56,670.28 × 27,678.74
  4. Step 4: Simplify right side
    41,130.84x = 1,568,561,945.85
  5. Step 5: Solve for x
    x = 1,568,561,945.85/41,130.84
  6. Step 6: Final answer
    x = 38,135.91

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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.