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Finding the Fourth Proportional to 30,354.96, 41,911.42 and 25,332.16

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Solution

The fourth proportional to 30,354.96, 41,911.42 and 25,332.16 is: 34,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,354.96 : 41,911.42 = 25,332.16 : x
  2. Step 2: Convert to fraction form
    30,354.96/41,911.42 = 25,332.16/x
  3. Step 3: Cross multiply
    30,354.96x = 41,911.42 × 25,332.16
  4. Step 4: Simplify right side
    30,354.96x = 1,061,706,797.27
  5. Step 5: Solve for x
    x = 1,061,706,797.27/30,354.96
  6. Step 6: Final answer
    x = 34,976.39

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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.