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Finding the Fourth Proportional to 32,462.64, 48,675 and 15,801.60

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Solution

The fourth proportional to 32,462.64, 48,675 and 15,801.60 is: 23,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462.64 : 48,675 = 15,801.60 : x
  2. Step 2: Convert to fraction form
    32,462.64/48,675 = 15,801.60/x
  3. Step 3: Cross multiply
    32,462.64x = 48,675 × 15,801.60
  4. Step 4: Simplify right side
    32,462.64x = 769,142,880
  5. Step 5: Solve for x
    x = 769,142,880/32,462.64
  6. Step 6: Final answer
    x = 23,693.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.