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Finding the Fourth Proportional to 74,475.50, 111,678.05 and 27,057.53

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Solution

The fourth proportional to 74,475.50, 111,678.05 and 27,057.53 is: 40,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,475.50 : 111,678.05 = 27,057.53 : x
  2. Step 2: Convert to fraction form
    74,475.50/111,678.05 = 27,057.53/x
  3. Step 3: Cross multiply
    74,475.50x = 111,678.05 × 27,057.53
  4. Step 4: Simplify right side
    74,475.50x = 3,021,731,697.47
  5. Step 5: Solve for x
    x = 3,021,731,697.47/74,475.50
  6. Step 6: Final answer
    x = 40,573.50

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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.