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Finding the Fourth Proportional to 52,367.84, 72,240.08 and 31,132

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Solution

The fourth proportional to 52,367.84, 72,240.08 and 31,132 is: 42,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,367.84 : 72,240.08 = 31,132 : x
  2. Step 2: Convert to fraction form
    52,367.84/72,240.08 = 31,132/x
  3. Step 3: Cross multiply
    52,367.84x = 72,240.08 × 31,132
  4. Step 4: Simplify right side
    52,367.84x = 2,248,978,170.56
  5. Step 5: Solve for x
    x = 2,248,978,170.56/52,367.84
  6. Step 6: Final answer
    x = 42,945.79

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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.