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Finding the Fourth Proportional to 40,783.86, 61,191.18 and 27,759.06

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Solution

The fourth proportional to 40,783.86, 61,191.18 and 27,759.06 is: 41,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,783.86 : 61,191.18 = 27,759.06 : x
  2. Step 2: Convert to fraction form
    40,783.86/61,191.18 = 27,759.06/x
  3. Step 3: Cross multiply
    40,783.86x = 61,191.18 × 27,759.06
  4. Step 4: Simplify right side
    40,783.86x = 1,698,609,637.09
  5. Step 5: Solve for x
    x = 1,698,609,637.09/40,783.86
  6. Step 6: Final answer
    x = 41,649.07

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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.