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Finding the Fourth Proportional to 32,082.40, 48,124.70 and 9,895.60

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Solution

The fourth proportional to 32,082.40, 48,124.70 and 9,895.60 is: 14,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.40 : 48,124.70 = 9,895.60 : x
  2. Step 2: Convert to fraction form
    32,082.40/48,124.70 = 9,895.60/x
  3. Step 3: Cross multiply
    32,082.40x = 48,124.70 × 9,895.60
  4. Step 4: Simplify right side
    32,082.40x = 476,222,781.32
  5. Step 5: Solve for x
    x = 476,222,781.32/32,082.40
  6. Step 6: Final answer
    x = 14,843.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.