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Finding the Fourth Proportional to 38,092.65, 57,145.60 and 15,921.60

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Solution

The fourth proportional to 38,092.65, 57,145.60 and 15,921.60 is: 23,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,092.65 : 57,145.60 = 15,921.60 : x
  2. Step 2: Convert to fraction form
    38,092.65/57,145.60 = 15,921.60/x
  3. Step 3: Cross multiply
    38,092.65x = 57,145.60 × 15,921.60
  4. Step 4: Simplify right side
    38,092.65x = 909,849,099.23
  5. Step 5: Solve for x
    x = 909,849,099.23/38,092.65
  6. Step 6: Final answer
    x = 23,885.16

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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.