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Finding the Fourth Proportional to 83,813.88, 115,650.44 and 47,513.32

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Solution

The fourth proportional to 83,813.88, 115,650.44 and 47,513.32 is: 65,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,813.88 : 115,650.44 = 47,513.32 : x
  2. Step 2: Convert to fraction form
    83,813.88/115,650.44 = 47,513.32/x
  3. Step 3: Cross multiply
    83,813.88x = 115,650.44 × 47,513.32
  4. Step 4: Simplify right side
    83,813.88x = 5,494,936,363.86
  5. Step 5: Solve for x
    x = 5,494,936,363.86/83,813.88
  6. Step 6: Final answer
    x = 65,561.17

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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.