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Finding the Fourth Proportional to 32,505.28, 48,725.10 and 17,683.50

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Solution

The fourth proportional to 32,505.28, 48,725.10 and 17,683.50 is: 26,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505.28 : 48,725.10 = 17,683.50 : x
  2. Step 2: Convert to fraction form
    32,505.28/48,725.10 = 17,683.50/x
  3. Step 3: Cross multiply
    32,505.28x = 48,725.10 × 17,683.50
  4. Step 4: Simplify right side
    32,505.28x = 861,630,305.85
  5. Step 5: Solve for x
    x = 861,630,305.85/32,505.28
  6. Step 6: Final answer
    x = 26,507.40

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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.