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Finding the Fourth Proportional to 73,583.78, 110,365.30 and 23,657.53

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Solution

The fourth proportional to 73,583.78, 110,365.30 and 23,657.53 is: 35,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,583.78 : 110,365.30 = 23,657.53 : x
  2. Step 2: Convert to fraction form
    73,583.78/110,365.30 = 23,657.53/x
  3. Step 3: Cross multiply
    73,583.78x = 110,365.30 × 23,657.53
  4. Step 4: Simplify right side
    73,583.78x = 2,610,969,912.83
  5. Step 5: Solve for x
    x = 2,610,969,912.83/73,583.78
  6. Step 6: Final answer
    x = 35,482.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.