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Finding the Fourth Proportional to 52,961.84, 73,055.24 and 31,437.38

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Solution

The fourth proportional to 52,961.84, 73,055.24 and 31,437.38 is: 43,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,961.84 : 73,055.24 = 31,437.38 : x
  2. Step 2: Convert to fraction form
    52,961.84/73,055.24 = 31,437.38/x
  3. Step 3: Cross multiply
    52,961.84x = 73,055.24 × 31,437.38
  4. Step 4: Simplify right side
    52,961.84x = 2,296,665,340.87
  5. Step 5: Solve for x
    x = 2,296,665,340.87/52,961.84
  6. Step 6: Final answer
    x = 43,364.53

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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.