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Finding the Fourth Proportional to 32,137.68, 48,213.56 and 9,647.42

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Solution

The fourth proportional to 32,137.68, 48,213.56 and 9,647.42 is: 14,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,137.68 : 48,213.56 = 9,647.42 : x
  2. Step 2: Convert to fraction form
    32,137.68/48,213.56 = 9,647.42/x
  3. Step 3: Cross multiply
    32,137.68x = 48,213.56 × 9,647.42
  4. Step 4: Simplify right side
    32,137.68x = 465,136,535.31
  5. Step 5: Solve for x
    x = 465,136,535.31/32,137.68
  6. Step 6: Final answer
    x = 14,473.25

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1.5x scale

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.