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Finding the Fourth Proportional to 55,857.66, 77,161.90 and 50,812.98

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Solution

The fourth proportional to 55,857.66, 77,161.90 and 50,812.98 is: 70,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,857.66 : 77,161.90 = 50,812.98 : x
  2. Step 2: Convert to fraction form
    55,857.66/77,161.90 = 50,812.98/x
  3. Step 3: Cross multiply
    55,857.66x = 77,161.90 × 50,812.98
  4. Step 4: Simplify right side
    55,857.66x = 3,920,826,081.46
  5. Step 5: Solve for x
    x = 3,920,826,081.46/55,857.66
  6. Step 6: Final answer
    x = 70,193.17

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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.