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Finding the Fourth Proportional to 75,534.50, 104,229.42 and 43,697.45

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Solution

The fourth proportional to 75,534.50, 104,229.42 and 43,697.45 is: 60,297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,534.50 : 104,229.42 = 43,697.45 : x
  2. Step 2: Convert to fraction form
    75,534.50/104,229.42 = 43,697.45/x
  3. Step 3: Cross multiply
    75,534.50x = 104,229.42 × 43,697.45
  4. Step 4: Simplify right side
    75,534.50x = 4,554,559,347.83
  5. Step 5: Solve for x
    x = 4,554,559,347.83/75,534.50
  6. Step 6: Final answer
    x = 60,297.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.