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Finding the Fourth Proportional to 37,734.34, 56,601.60 and 10,032.34

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Solution

The fourth proportional to 37,734.34, 56,601.60 and 10,032.34 is: 15,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,734.34 : 56,601.60 = 10,032.34 : x
  2. Step 2: Convert to fraction form
    37,734.34/56,601.60 = 10,032.34/x
  3. Step 3: Cross multiply
    37,734.34x = 56,601.60 × 10,032.34
  4. Step 4: Simplify right side
    37,734.34x = 567,846,495.74
  5. Step 5: Solve for x
    x = 567,846,495.74/37,734.34
  6. Step 6: Final answer
    x = 15,048.53

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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.