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Finding the Fourth Proportional to 39,600, 54,648 and 23,685.12

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Solution

The fourth proportional to 39,600, 54,648 and 23,685.12 is: 32,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,600 : 54,648 = 23,685.12 : x
  2. Step 2: Convert to fraction form
    39,600/54,648 = 23,685.12/x
  3. Step 3: Cross multiply
    39,600x = 54,648 × 23,685.12
  4. Step 4: Simplify right side
    39,600x = 1,294,344,437.76
  5. Step 5: Solve for x
    x = 1,294,344,437.76/39,600
  6. Step 6: Final answer
    x = 32,685.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.