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Finding the Fourth Proportional to 37,744.92, 52,064.37 and 24,302.16

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Solution

The fourth proportional to 37,744.92, 52,064.37 and 24,302.16 is: 33,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,744.92 : 52,064.37 = 24,302.16 : x
  2. Step 2: Convert to fraction form
    37,744.92/52,064.37 = 24,302.16/x
  3. Step 3: Cross multiply
    37,744.92x = 52,064.37 × 24,302.16
  4. Step 4: Simplify right side
    37,744.92x = 1,265,276,650.04
  5. Step 5: Solve for x
    x = 1,265,276,650.04/37,744.92
  6. Step 6: Final answer
    x = 33,521.77

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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.