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Finding the Fourth Proportional to 32,208.96, 44,462.30 and 30,191.46

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Solution

The fourth proportional to 32,208.96, 44,462.30 and 30,191.46 is: 41,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.96 : 44,462.30 = 30,191.46 : x
  2. Step 2: Convert to fraction form
    32,208.96/44,462.30 = 30,191.46/x
  3. Step 3: Cross multiply
    32,208.96x = 44,462.30 × 30,191.46
  4. Step 4: Simplify right side
    32,208.96x = 1,342,381,751.96
  5. Step 5: Solve for x
    x = 1,342,381,751.96/32,208.96
  6. Step 6: Final answer
    x = 41,677.28

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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.