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Finding the Fourth Proportional to 55,468.97, 76,385.93 and 48,198

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Solution

The fourth proportional to 55,468.97, 76,385.93 and 48,198 is: 66,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,468.97 : 76,385.93 = 48,198 : x
  2. Step 2: Convert to fraction form
    55,468.97/76,385.93 = 48,198/x
  3. Step 3: Cross multiply
    55,468.97x = 76,385.93 × 48,198
  4. Step 4: Simplify right side
    55,468.97x = 3,681,648,813.15
  5. Step 5: Solve for x
    x = 3,681,648,813.15/55,468.97
  6. Step 6: Final answer
    x = 66,373.13

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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.