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Finding the Fourth Proportional to 35,743, 49,324.57 and 19,827.11

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Solution

The fourth proportional to 35,743, 49,324.57 and 19,827.11 is: 27,360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,743 : 49,324.57 = 19,827.11 : x
  2. Step 2: Convert to fraction form
    35,743/49,324.57 = 19,827.11/x
  3. Step 3: Cross multiply
    35,743x = 49,324.57 × 19,827.11
  4. Step 4: Simplify right side
    35,743x = 977,963,675.09
  5. Step 5: Solve for x
    x = 977,963,675.09/35,743
  6. Step 6: Final answer
    x = 27,360.98

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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.