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Finding the Fourth Proportional to 37,858.32, 52,218 and 32,153.76

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Solution

The fourth proportional to 37,858.32, 52,218 and 32,153.76 is: 44,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858.32 : 52,218 = 32,153.76 : x
  2. Step 2: Convert to fraction form
    37,858.32/52,218 = 32,153.76/x
  3. Step 3: Cross multiply
    37,858.32x = 52,218 × 32,153.76
  4. Step 4: Simplify right side
    37,858.32x = 1,679,005,039.68
  5. Step 5: Solve for x
    x = 1,679,005,039.68/37,858.32
  6. Step 6: Final answer
    x = 44,349.70

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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.