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Finding the Fourth Proportional to 74,097.50, 102,254.55 and 40,563.50

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Solution

The fourth proportional to 74,097.50, 102,254.55 and 40,563.50 is: 55,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,097.50 : 102,254.55 = 40,563.50 : x
  2. Step 2: Convert to fraction form
    74,097.50/102,254.55 = 40,563.50/x
  3. Step 3: Cross multiply
    74,097.50x = 102,254.55 × 40,563.50
  4. Step 4: Simplify right side
    74,097.50x = 4,147,802,438.93
  5. Step 5: Solve for x
    x = 4,147,802,438.93/74,097.50
  6. Step 6: Final answer
    x = 55,977.63

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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.