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Finding the Fourth Proportional to 50,612, 75,822.96 and 46,793.12

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Solution

The fourth proportional to 50,612, 75,822.96 and 46,793.12 is: 70,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,612 : 75,822.96 = 46,793.12 : x
  2. Step 2: Convert to fraction form
    50,612/75,822.96 = 46,793.12/x
  3. Step 3: Cross multiply
    50,612x = 75,822.96 × 46,793.12
  4. Step 4: Simplify right side
    50,612x = 3,547,992,866.04
  5. Step 5: Solve for x
    x = 3,547,992,866.04/50,612
  6. Step 6: Final answer
    x = 70,101.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.