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Finding the Fourth Proportional to 109,836.93, 164,755.41 and 26,730.93

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Solution

The fourth proportional to 109,836.93, 164,755.41 and 26,730.93 is: 40,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,836.93 : 164,755.41 = 26,730.93 : x
  2. Step 2: Convert to fraction form
    109,836.93/164,755.41 = 26,730.93/x
  3. Step 3: Cross multiply
    109,836.93x = 164,755.41 × 26,730.93
  4. Step 4: Simplify right side
    109,836.93x = 4,404,065,331.83
  5. Step 5: Solve for x
    x = 4,404,065,331.83/109,836.93
  6. Step 6: Final answer
    x = 40,096.40

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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.