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Finding the Fourth Proportional to 39,105.51, 53,964.90 and 22,109.46

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Solution

The fourth proportional to 39,105.51, 53,964.90 and 22,109.46 is: 30,510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,105.51 : 53,964.90 = 22,109.46 : x
  2. Step 2: Convert to fraction form
    39,105.51/53,964.90 = 22,109.46/x
  3. Step 3: Cross multiply
    39,105.51x = 53,964.90 × 22,109.46
  4. Step 4: Simplify right side
    39,105.51x = 1,193,134,797.95
  5. Step 5: Solve for x
    x = 1,193,134,797.95/39,105.51
  6. Step 6: Final answer
    x = 30,510.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.