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Finding the Fourth Proportional to 55,545.84, 76,651.38 and 30,394.80

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Solution

The fourth proportional to 55,545.84, 76,651.38 and 30,394.80 is: 41,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,545.84 : 76,651.38 = 30,394.80 : x
  2. Step 2: Convert to fraction form
    55,545.84/76,651.38 = 30,394.80/x
  3. Step 3: Cross multiply
    55,545.84x = 76,651.38 × 30,394.80
  4. Step 4: Simplify right side
    55,545.84x = 2,329,803,364.82
  5. Step 5: Solve for x
    x = 2,329,803,364.82/55,545.84
  6. Step 6: Final answer
    x = 41,943.80

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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.