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Finding the Fourth Proportional to 38,025.56, 57,038.36 and 10,323.56

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Solution

The fourth proportional to 38,025.56, 57,038.36 and 10,323.56 is: 15,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,025.56 : 57,038.36 = 10,323.56 : x
  2. Step 2: Convert to fraction form
    38,025.56/57,038.36 = 10,323.56/x
  3. Step 3: Cross multiply
    38,025.56x = 57,038.36 × 10,323.56
  4. Step 4: Simplify right side
    38,025.56x = 588,839,022.74
  5. Step 5: Solve for x
    x = 588,839,022.74/38,025.56
  6. Step 6: Final answer
    x = 15,485.35

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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.