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Finding the Fourth Proportional to 35,957.70, 49,621.14 and 20,042.82

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Solution

The fourth proportional to 35,957.70, 49,621.14 and 20,042.82 is: 27,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,957.70 : 49,621.14 = 20,042.82 : x
  2. Step 2: Convert to fraction form
    35,957.70/49,621.14 = 20,042.82/x
  3. Step 3: Cross multiply
    35,957.70x = 49,621.14 × 20,042.82
  4. Step 4: Simplify right side
    35,957.70x = 994,547,577.21
  5. Step 5: Solve for x
    x = 994,547,577.21/35,957.70
  6. Step 6: Final answer
    x = 27,658.82

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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.