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Finding the Fourth Proportional to 55,894.46, 77,169.75 and 34,696.22

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Solution

The fourth proportional to 55,894.46, 77,169.75 and 34,696.22 is: 47,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,894.46 : 77,169.75 = 34,696.22 : x
  2. Step 2: Convert to fraction form
    55,894.46/77,169.75 = 34,696.22/x
  3. Step 3: Cross multiply
    55,894.46x = 77,169.75 × 34,696.22
  4. Step 4: Simplify right side
    55,894.46x = 2,677,498,623.35
  5. Step 5: Solve for x
    x = 2,677,498,623.35/55,894.46
  6. Step 6: Final answer
    x = 47,902.76

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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.