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Finding the Fourth Proportional to 30,934.72, 46,410.24 and 13,400.48

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Solution

The fourth proportional to 30,934.72, 46,410.24 and 13,400.48 is: 20,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,934.72 : 46,410.24 = 13,400.48 : x
  2. Step 2: Convert to fraction form
    30,934.72/46,410.24 = 13,400.48/x
  3. Step 3: Cross multiply
    30,934.72x = 46,410.24 × 13,400.48
  4. Step 4: Simplify right side
    30,934.72x = 621,919,492.92
  5. Step 5: Solve for x
    x = 621,919,492.92/30,934.72
  6. Step 6: Final answer
    x = 20,104.25

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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.