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Finding the Fourth Proportional to 52,424.34, 72,366.54 and 31,199.52

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Solution

The fourth proportional to 52,424.34, 72,366.54 and 31,199.52 is: 43,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,424.34 : 72,366.54 = 31,199.52 : x
  2. Step 2: Convert to fraction form
    52,424.34/72,366.54 = 31,199.52/x
  3. Step 3: Cross multiply
    52,424.34x = 72,366.54 × 31,199.52
  4. Step 4: Simplify right side
    52,424.34x = 2,257,801,312.06
  5. Step 5: Solve for x
    x = 2,257,801,312.06/52,424.34
  6. Step 6: Final answer
    x = 43,067.81

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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.