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Finding the Fourth Proportional to 35,714.37, 49,286.10 and 19,798.80

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Solution

The fourth proportional to 35,714.37, 49,286.10 and 19,798.80 is: 27,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.37 : 49,286.10 = 19,798.80 : x
  2. Step 2: Convert to fraction form
    35,714.37/49,286.10 = 19,798.80/x
  3. Step 3: Cross multiply
    35,714.37x = 49,286.10 × 19,798.80
  4. Step 4: Simplify right side
    35,714.37x = 975,805,774.90
  5. Step 5: Solve for x
    x = 975,805,774.90/35,714.37
  6. Step 6: Final answer
    x = 27,322.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.