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Finding the Fourth Proportional to 35,758.64, 49,347.46 and 19,844.12

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Solution

The fourth proportional to 35,758.64, 49,347.46 and 19,844.12 is: 27,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,758.64 : 49,347.46 = 19,844.12 : x
  2. Step 2: Convert to fraction form
    35,758.64/49,347.46 = 19,844.12/x
  3. Step 3: Cross multiply
    35,758.64x = 49,347.46 × 19,844.12
  4. Step 4: Simplify right side
    35,758.64x = 979,256,621.59
  5. Step 5: Solve for x
    x = 979,256,621.59/35,758.64
  6. Step 6: Final answer
    x = 27,385.18

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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.