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Finding the Fourth Proportional to 32,143.10, 48,207.08 and 8,763.98

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Solution

The fourth proportional to 32,143.10, 48,207.08 and 8,763.98 is: 13,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.10 : 48,207.08 = 8,763.98 : x
  2. Step 2: Convert to fraction form
    32,143.10/48,207.08 = 8,763.98/x
  3. Step 3: Cross multiply
    32,143.10x = 48,207.08 × 8,763.98
  4. Step 4: Simplify right side
    32,143.10x = 422,485,884.98
  5. Step 5: Solve for x
    x = 422,485,884.98/32,143.10
  6. Step 6: Final answer
    x = 13,143.91

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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.