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Finding the Fourth Proportional to 27,765.90, 41,648.45 and 6,705.77

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Solution

The fourth proportional to 27,765.90, 41,648.45 and 6,705.77 is: 10,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765.90 : 41,648.45 = 6,705.77 : x
  2. Step 2: Convert to fraction form
    27,765.90/41,648.45 = 6,705.77/x
  3. Step 3: Cross multiply
    27,765.90x = 41,648.45 × 6,705.77
  4. Step 4: Simplify right side
    27,765.90x = 279,284,684.79
  5. Step 5: Solve for x
    x = 279,284,684.79/27,765.90
  6. Step 6: Final answer
    x = 10,058.55

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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.