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Finding the Fourth Proportional to 27,876.59, 38,416.55 and 27,364.20

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Solution

The fourth proportional to 27,876.59, 38,416.55 and 27,364.20 is: 37,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.59 : 38,416.55 = 27,364.20 : x
  2. Step 2: Convert to fraction form
    27,876.59/38,416.55 = 27,364.20/x
  3. Step 3: Cross multiply
    27,876.59x = 38,416.55 × 27,364.20
  4. Step 4: Simplify right side
    27,876.59x = 1,051,237,876.63
  5. Step 5: Solve for x
    x = 1,051,237,876.63/27,876.59
  6. Step 6: Final answer
    x = 37,710.42

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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.