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Finding the Fourth Proportional to 37,952, 52,376.32 and 21,185.36

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Solution

The fourth proportional to 37,952, 52,376.32 and 21,185.36 is: 29,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,952 : 52,376.32 = 21,185.36 : x
  2. Step 2: Convert to fraction form
    37,952/52,376.32 = 21,185.36/x
  3. Step 3: Cross multiply
    37,952x = 52,376.32 × 21,185.36
  4. Step 4: Simplify right side
    37,952x = 1,109,611,194.68
  5. Step 5: Solve for x
    x = 1,109,611,194.68/37,952
  6. Step 6: Final answer
    x = 29,237.23

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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.