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Finding the Fourth Proportional to 29,858.73, 44,787.69 and 9,082.23

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Solution

The fourth proportional to 29,858.73, 44,787.69 and 9,082.23 is: 13,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,858.73 : 44,787.69 = 9,082.23 : x
  2. Step 2: Convert to fraction form
    29,858.73/44,787.69 = 9,082.23/x
  3. Step 3: Cross multiply
    29,858.73x = 44,787.69 × 9,082.23
  4. Step 4: Simplify right side
    29,858.73x = 406,772,101.75
  5. Step 5: Solve for x
    x = 406,772,101.75/29,858.73
  6. Step 6: Final answer
    x = 13,623.22

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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.