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Finding the Fourth Proportional to 52,884.44, 72,975.12 and 31,663.16

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Solution

The fourth proportional to 52,884.44, 72,975.12 and 31,663.16 is: 43,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,884.44 : 72,975.12 = 31,663.16 : x
  2. Step 2: Convert to fraction form
    52,884.44/72,975.12 = 31,663.16/x
  3. Step 3: Cross multiply
    52,884.44x = 72,975.12 × 31,663.16
  4. Step 4: Simplify right side
    52,884.44x = 2,310,622,900.58
  5. Step 5: Solve for x
    x = 2,310,622,900.58/52,884.44
  6. Step 6: Final answer
    x = 43,691.92

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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.