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Finding the Fourth Proportional to 27,378.48, 41,070.31 and 7,657.03

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Solution

The fourth proportional to 27,378.48, 41,070.31 and 7,657.03 is: 11,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378.48 : 41,070.31 = 7,657.03 : x
  2. Step 2: Convert to fraction form
    27,378.48/41,070.31 = 7,657.03/x
  3. Step 3: Cross multiply
    27,378.48x = 41,070.31 × 7,657.03
  4. Step 4: Simplify right side
    27,378.48x = 314,476,595.78
  5. Step 5: Solve for x
    x = 314,476,595.78/27,378.48
  6. Step 6: Final answer
    x = 11,486.27

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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.