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Finding the Fourth Proportional to 38,094.09, 57,140.52 and 10,392.09

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Solution

The fourth proportional to 38,094.09, 57,140.52 and 10,392.09 is: 15,587.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,094.09 : 57,140.52 = 10,392.09 : x
  2. Step 2: Convert to fraction form
    38,094.09/57,140.52 = 10,392.09/x
  3. Step 3: Cross multiply
    38,094.09x = 57,140.52 × 10,392.09
  4. Step 4: Simplify right side
    38,094.09x = 593,809,140.78
  5. Step 5: Solve for x
    x = 593,809,140.78/38,094.09
  6. Step 6: Final answer
    x = 15,587.96

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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.