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Finding the Fourth Proportional to 102,046.95, 153,067.60 and 27,167.74

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Solution

The fourth proportional to 102,046.95, 153,067.60 and 27,167.74 is: 40,750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,046.95 : 153,067.60 = 27,167.74 : x
  2. Step 2: Convert to fraction form
    102,046.95/153,067.60 = 27,167.74/x
  3. Step 3: Cross multiply
    102,046.95x = 153,067.60 × 27,167.74
  4. Step 4: Simplify right side
    102,046.95x = 4,158,501,094.47
  5. Step 5: Solve for x
    x = 4,158,501,094.47/102,046.95
  6. Step 6: Final answer
    x = 40,750.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.