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Finding the Fourth Proportional to 109,734.99, 164,602.50 and 30,849.23

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Solution

The fourth proportional to 109,734.99, 164,602.50 and 30,849.23 is: 46,273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,734.99 : 164,602.50 = 30,849.23 : x
  2. Step 2: Convert to fraction form
    109,734.99/164,602.50 = 30,849.23/x
  3. Step 3: Cross multiply
    109,734.99x = 164,602.50 × 30,849.23
  4. Step 4: Simplify right side
    109,734.99x = 5,077,859,558.06
  5. Step 5: Solve for x
    x = 5,077,859,558.06/109,734.99
  6. Step 6: Final answer
    x = 46,273.84

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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.