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Finding the Fourth Proportional to 52,238.60, 72,120.03 and 31,828.36

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Solution

The fourth proportional to 52,238.60, 72,120.03 and 31,828.36 is: 43,941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,238.60 : 72,120.03 = 31,828.36 : x
  2. Step 2: Convert to fraction form
    52,238.60/72,120.03 = 31,828.36/x
  3. Step 3: Cross multiply
    52,238.60x = 72,120.03 × 31,828.36
  4. Step 4: Simplify right side
    52,238.60x = 2,295,462,278.05
  5. Step 5: Solve for x
    x = 2,295,462,278.05/52,238.60
  6. Step 6: Final answer
    x = 43,941.88

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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.