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Finding the Fourth Proportional to 109,698.08, 164,553.23 and 30,806.13

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Solution

The fourth proportional to 109,698.08, 164,553.23 and 30,806.13 is: 46,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,698.08 : 164,553.23 = 30,806.13 : x
  2. Step 2: Convert to fraction form
    109,698.08/164,553.23 = 30,806.13/x
  3. Step 3: Cross multiply
    109,698.08x = 164,553.23 × 30,806.13
  4. Step 4: Simplify right side
    109,698.08x = 5,069,247,218.50
  5. Step 5: Solve for x
    x = 5,069,247,218.50/109,698.08
  6. Step 6: Final answer
    x = 46,210.90

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