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Finding the Fourth Proportional to 109,804.86, 164,707.29 and 26,698.14

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Solution

The fourth proportional to 109,804.86, 164,707.29 and 26,698.14 is: 40,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,804.86 : 164,707.29 = 26,698.14 : x
  2. Step 2: Convert to fraction form
    109,804.86/164,707.29 = 26,698.14/x
  3. Step 3: Cross multiply
    109,804.86x = 164,707.29 × 26,698.14
  4. Step 4: Simplify right side
    109,804.86x = 4,397,378,287.44
  5. Step 5: Solve for x
    x = 4,397,378,287.44/109,804.86
  6. Step 6: Final answer
    x = 40,047.21

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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.