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Finding the Fourth Proportional to 43,781.66, 65,678.98 and 16,077.50

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Solution

The fourth proportional to 43,781.66, 65,678.98 and 16,077.50 is: 24,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,781.66 : 65,678.98 = 16,077.50 : x
  2. Step 2: Convert to fraction form
    43,781.66/65,678.98 = 16,077.50/x
  3. Step 3: Cross multiply
    43,781.66x = 65,678.98 × 16,077.50
  4. Step 4: Simplify right side
    43,781.66x = 1,055,953,800.95
  5. Step 5: Solve for x
    x = 1,055,953,800.95/43,781.66
  6. Step 6: Final answer
    x = 24,118.63

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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.