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Finding the Fourth Proportional to 32,000.42, 48,008.02 and 9,817.04

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Solution

The fourth proportional to 32,000.42, 48,008.02 and 9,817.04 is: 14,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.42 : 48,008.02 = 9,817.04 : x
  2. Step 2: Convert to fraction form
    32,000.42/48,008.02 = 9,817.04/x
  3. Step 3: Cross multiply
    32,000.42x = 48,008.02 × 9,817.04
  4. Step 4: Simplify right side
    32,000.42x = 471,296,652.66
  5. Step 5: Solve for x
    x = 471,296,652.66/32,000.42
  6. Step 6: Final answer
    x = 14,727.83

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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.