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Finding the Fourth Proportional to 52,412.40, 72,324.36 and 31,188.24

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Solution

The fourth proportional to 52,412.40, 72,324.36 and 31,188.24 is: 43,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,412.40 : 72,324.36 = 31,188.24 : x
  2. Step 2: Convert to fraction form
    52,412.40/72,324.36 = 31,188.24/x
  3. Step 3: Cross multiply
    52,412.40x = 72,324.36 × 31,188.24
  4. Step 4: Simplify right side
    52,412.40x = 2,255,669,497.53
  5. Step 5: Solve for x
    x = 2,255,669,497.53/52,412.40
  6. Step 6: Final answer
    x = 43,036.94

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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.