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Finding the Fourth Proportional to 74,427, 102,709.26 and 40,893

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Solution

The fourth proportional to 74,427, 102,709.26 and 40,893 is: 56,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,427 : 102,709.26 = 40,893 : x
  2. Step 2: Convert to fraction form
    74,427/102,709.26 = 40,893/x
  3. Step 3: Cross multiply
    74,427x = 102,709.26 × 40,893
  4. Step 4: Simplify right side
    74,427x = 4,200,089,769.18
  5. Step 5: Solve for x
    x = 4,200,089,769.18/74,427
  6. Step 6: Final answer
    x = 56,432.34

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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.