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Finding the Fourth Proportional to 75,402.30, 113,057.01 and 25,477.68

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Solution

The fourth proportional to 75,402.30, 113,057.01 and 25,477.68 is: 38,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,402.30 : 113,057.01 = 25,477.68 : x
  2. Step 2: Convert to fraction form
    75,402.30/113,057.01 = 25,477.68/x
  3. Step 3: Cross multiply
    75,402.30x = 113,057.01 × 25,477.68
  4. Step 4: Simplify right side
    75,402.30x = 2,880,430,322.54
  5. Step 5: Solve for x
    x = 2,880,430,322.54/75,402.30
  6. Step 6: Final answer
    x = 38,200.83

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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.