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Finding the Fourth Proportional to 38,203.00, 57,298.21 and 10,124.80

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Solution

The fourth proportional to 38,203.00, 57,298.21 and 10,124.80 is: 15,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,203.00 : 57,298.21 = 10,124.80 : x
  2. Step 2: Convert to fraction form
    38,203.00/57,298.21 = 10,124.80/x
  3. Step 3: Cross multiply
    38,203.00x = 57,298.21 × 10,124.80
  4. Step 4: Simplify right side
    38,203.00x = 580,132,748.05
  5. Step 5: Solve for x
    x = 580,132,748.05/38,203.00
  6. Step 6: Final answer
    x = 15,185.53

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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.