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Finding the Fourth Proportional to 37,046.66, 51,128.97 and 27,598.82

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Solution

The fourth proportional to 37,046.66, 51,128.97 and 27,598.82 is: 38,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,046.66 : 51,128.97 = 27,598.82 : x
  2. Step 2: Convert to fraction form
    37,046.66/51,128.97 = 27,598.82/x
  3. Step 3: Cross multiply
    37,046.66x = 51,128.97 × 27,598.82
  4. Step 4: Simplify right side
    37,046.66x = 1,411,099,239.82
  5. Step 5: Solve for x
    x = 1,411,099,239.82/37,046.66
  6. Step 6: Final answer
    x = 38,089.78

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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.