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Finding the Fourth Proportional to 75,471.16, 104,150.72 and 47,193.40

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Solution

The fourth proportional to 75,471.16, 104,150.72 and 47,193.40 is: 65,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,471.16 : 104,150.72 = 47,193.40 : x
  2. Step 2: Convert to fraction form
    75,471.16/104,150.72 = 47,193.40/x
  3. Step 3: Cross multiply
    75,471.16x = 104,150.72 × 47,193.40
  4. Step 4: Simplify right side
    75,471.16x = 4,915,226,589.25
  5. Step 5: Solve for x
    x = 4,915,226,589.25/75,471.16
  6. Step 6: Final answer
    x = 65,127.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.