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Finding the Fourth Proportional to 75,614.70, 113,422.05 and 20,210.70

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Solution

The fourth proportional to 75,614.70, 113,422.05 and 20,210.70 is: 30,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,614.70 : 113,422.05 = 20,210.70 : x
  2. Step 2: Convert to fraction form
    75,614.70/113,422.05 = 20,210.70/x
  3. Step 3: Cross multiply
    75,614.70x = 113,422.05 × 20,210.70
  4. Step 4: Simplify right side
    75,614.70x = 2,292,339,025.94
  5. Step 5: Solve for x
    x = 2,292,339,025.94/75,614.70
  6. Step 6: Final answer
    x = 30,316.05

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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.