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Finding the Fourth Proportional to 52,967.32, 73,064.36 and 31,734.28

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Solution

The fourth proportional to 52,967.32, 73,064.36 and 31,734.28 is: 43,775.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,967.32 : 73,064.36 = 31,734.28 : x
  2. Step 2: Convert to fraction form
    52,967.32/73,064.36 = 31,734.28/x
  3. Step 3: Cross multiply
    52,967.32x = 73,064.36 × 31,734.28
  4. Step 4: Simplify right side
    52,967.32x = 2,318,644,858.26
  5. Step 5: Solve for x
    x = 2,318,644,858.26/52,967.32
  6. Step 6: Final answer
    x = 43,775.01

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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.