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Finding the Fourth Proportional to 37,732.32, 52,094.94 and 23,407.44

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Solution

The fourth proportional to 37,732.32, 52,094.94 and 23,407.44 is: 32,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,732.32 : 52,094.94 = 23,407.44 : x
  2. Step 2: Convert to fraction form
    37,732.32/52,094.94 = 23,407.44/x
  3. Step 3: Cross multiply
    37,732.32x = 52,094.94 × 23,407.44
  4. Step 4: Simplify right side
    37,732.32x = 1,219,409,182.35
  5. Step 5: Solve for x
    x = 1,219,409,182.35/37,732.32
  6. Step 6: Final answer
    x = 32,317.37

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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.