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Finding the Fourth Proportional to 35,893.50, 49,532.52 and 19,977.95

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Solution

The fourth proportional to 35,893.50, 49,532.52 and 19,977.95 is: 27,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,893.50 : 49,532.52 = 19,977.95 : x
  2. Step 2: Convert to fraction form
    35,893.50/49,532.52 = 19,977.95/x
  3. Step 3: Cross multiply
    35,893.50x = 49,532.52 × 19,977.95
  4. Step 4: Simplify right side
    35,893.50x = 989,558,207.93
  5. Step 5: Solve for x
    x = 989,558,207.93/35,893.50
  6. Step 6: Final answer
    x = 27,569.29

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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.