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Finding the Fourth Proportional to 109,807.86, 164,711.79 and 26,701.14

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Solution

The fourth proportional to 109,807.86, 164,711.79 and 26,701.14 is: 40,051.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,807.86 : 164,711.79 = 26,701.14 : x
  2. Step 2: Convert to fraction form
    109,807.86/164,711.79 = 26,701.14/x
  3. Step 3: Cross multiply
    109,807.86x = 164,711.79 × 26,701.14
  4. Step 4: Simplify right side
    109,807.86x = 4,397,992,564.44
  5. Step 5: Solve for x
    x = 4,397,992,564.44/109,807.86
  6. Step 6: Final answer
    x = 40,051.71

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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.