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Finding the Fourth Proportional to 35,711.53, 49,280.49 and 19,578.49

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Solution

The fourth proportional to 35,711.53, 49,280.49 and 19,578.49 is: 27,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,711.53 : 49,280.49 = 19,578.49 : x
  2. Step 2: Convert to fraction form
    35,711.53/49,280.49 = 19,578.49/x
  3. Step 3: Cross multiply
    35,711.53x = 49,280.49 × 19,578.49
  4. Step 4: Simplify right side
    35,711.53x = 964,837,580.66
  5. Step 5: Solve for x
    x = 964,837,580.66/35,711.53
  6. Step 6: Final answer
    x = 27,017.54

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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.