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Finding the Fourth Proportional to 37,424.32, 56,115.84 and 15,232

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Solution

The fourth proportional to 37,424.32, 56,115.84 and 15,232 is: 22,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,424.32 : 56,115.84 = 15,232 : x
  2. Step 2: Convert to fraction form
    37,424.32/56,115.84 = 15,232/x
  3. Step 3: Cross multiply
    37,424.32x = 56,115.84 × 15,232
  4. Step 4: Simplify right side
    37,424.32x = 854,756,474.88
  5. Step 5: Solve for x
    x = 854,756,474.88/37,424.32
  6. Step 6: Final answer
    x = 22,839.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.