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Finding the Fourth Proportional to 39,991.38, 55,188.10 and 23,225.46

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Solution

The fourth proportional to 39,991.38, 55,188.10 and 23,225.46 is: 32,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,991.38 : 55,188.10 = 23,225.46 : x
  2. Step 2: Convert to fraction form
    39,991.38/55,188.10 = 23,225.46/x
  3. Step 3: Cross multiply
    39,991.38x = 55,188.10 × 23,225.46
  4. Step 4: Simplify right side
    39,991.38x = 1,281,768,675.02
  5. Step 5: Solve for x
    x = 1,281,768,675.02/39,991.38
  6. Step 6: Final answer
    x = 32,051.13

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Why These Related Problems?

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