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Finding the Fourth Proportional to 27,602.74, 41,404.16 and 10,068.49

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Solution

The fourth proportional to 27,602.74, 41,404.16 and 10,068.49 is: 15,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.74 : 41,404.16 = 10,068.49 : x
  2. Step 2: Convert to fraction form
    27,602.74/41,404.16 = 10,068.49/x
  3. Step 3: Cross multiply
    27,602.74x = 41,404.16 × 10,068.49
  4. Step 4: Simplify right side
    27,602.74x = 416,877,370.92
  5. Step 5: Solve for x
    x = 416,877,370.92/27,602.74
  6. Step 6: Final answer
    x = 15,102.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.