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Finding the Fourth Proportional to 32,082.39, 48,129.96 and 9,894.80

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Solution

The fourth proportional to 32,082.39, 48,129.96 and 9,894.80 is: 14,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.39 : 48,129.96 = 9,894.80 : x
  2. Step 2: Convert to fraction form
    32,082.39/48,129.96 = 9,894.80/x
  3. Step 3: Cross multiply
    32,082.39x = 48,129.96 × 9,894.80
  4. Step 4: Simplify right side
    32,082.39x = 476,236,328.21
  5. Step 5: Solve for x
    x = 476,236,328.21/32,082.39
  6. Step 6: Final answer
    x = 14,844.17

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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.