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Finding the Fourth Proportional to 27,876.96, 38,417.10 and 27,364.55

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Solution

The fourth proportional to 27,876.96, 38,417.10 and 27,364.55 is: 37,710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.96 : 38,417.10 = 27,364.55 : x
  2. Step 2: Convert to fraction form
    27,876.96/38,417.10 = 27,364.55/x
  3. Step 3: Cross multiply
    27,876.96x = 38,417.10 × 27,364.55
  4. Step 4: Simplify right side
    27,876.96x = 1,051,266,461.72
  5. Step 5: Solve for x
    x = 1,051,266,461.72/27,876.96
  6. Step 6: Final answer
    x = 37,710.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.