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Finding the Fourth Proportional to 55,418.49, 76,477.61 and 31,545.17

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Solution

The fourth proportional to 55,418.49, 76,477.61 and 31,545.17 is: 43,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,418.49 : 76,477.61 = 31,545.17 : x
  2. Step 2: Convert to fraction form
    55,418.49/76,477.61 = 31,545.17/x
  3. Step 3: Cross multiply
    55,418.49x = 76,477.61 × 31,545.17
  4. Step 4: Simplify right side
    55,418.49x = 2,412,499,208.64
  5. Step 5: Solve for x
    x = 2,412,499,208.64/55,418.49
  6. Step 6: Final answer
    x = 43,532.39

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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.