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Finding the Fourth Proportional to 52,941.66, 73,054.11 and 31,720.38

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Solution

The fourth proportional to 52,941.66, 73,054.11 and 31,720.38 is: 43,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,941.66 : 73,054.11 = 31,720.38 : x
  2. Step 2: Convert to fraction form
    52,941.66/73,054.11 = 31,720.38/x
  3. Step 3: Cross multiply
    52,941.66x = 73,054.11 × 31,720.38
  4. Step 4: Simplify right side
    52,941.66x = 2,317,304,129.76
  5. Step 5: Solve for x
    x = 2,317,304,129.76/52,941.66
  6. Step 6: Final answer
    x = 43,770.90

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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.