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Finding the Fourth Proportional to 52,820.35, 72,889.92 and 31,611.31

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Solution

The fourth proportional to 52,820.35, 72,889.92 and 31,611.31 is: 43,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,820.35 : 72,889.92 = 31,611.31 : x
  2. Step 2: Convert to fraction form
    52,820.35/72,889.92 = 31,611.31/x
  3. Step 3: Cross multiply
    52,820.35x = 72,889.92 × 31,611.31
  4. Step 4: Simplify right side
    52,820.35x = 2,304,145,674.77
  5. Step 5: Solve for x
    x = 2,304,145,674.77/52,820.35
  6. Step 6: Final answer
    x = 43,622.31

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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.