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Finding the Fourth Proportional to 52,406.36, 72,304.56 and 31,992.80

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Solution

The fourth proportional to 52,406.36, 72,304.56 and 31,992.80 is: 44,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,406.36 : 72,304.56 = 31,992.80 : x
  2. Step 2: Convert to fraction form
    52,406.36/72,304.56 = 31,992.80/x
  3. Step 3: Cross multiply
    52,406.36x = 72,304.56 × 31,992.80
  4. Step 4: Simplify right side
    52,406.36x = 2,313,225,327.17
  5. Step 5: Solve for x
    x = 2,313,225,327.17/52,406.36
  6. Step 6: Final answer
    x = 44,140.16

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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.