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Finding the Fourth Proportional to 38,193.16, 57,289.74 and 10,493.32

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Solution

The fourth proportional to 38,193.16, 57,289.74 and 10,493.32 is: 15,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,193.16 : 57,289.74 = 10,493.32 : x
  2. Step 2: Convert to fraction form
    38,193.16/57,289.74 = 10,493.32/x
  3. Step 3: Cross multiply
    38,193.16x = 57,289.74 × 10,493.32
  4. Step 4: Simplify right side
    38,193.16x = 601,159,574.54
  5. Step 5: Solve for x
    x = 601,159,574.54/38,193.16
  6. Step 6: Final answer
    x = 15,739.98

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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.