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Finding the Fourth Proportional to 35,545.50, 49,051.50 and 19,629.90

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Solution

The fourth proportional to 35,545.50, 49,051.50 and 19,629.90 is: 27,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,545.50 : 49,051.50 = 19,629.90 : x
  2. Step 2: Convert to fraction form
    35,545.50/49,051.50 = 19,629.90/x
  3. Step 3: Cross multiply
    35,545.50x = 49,051.50 × 19,629.90
  4. Step 4: Simplify right side
    35,545.50x = 962,876,039.85
  5. Step 5: Solve for x
    x = 962,876,039.85/35,545.50
  6. Step 6: Final answer
    x = 27,088.55

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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.