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Finding the Fourth Proportional to 89,107.84, 122,971.40 and 48,825.12

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Solution

The fourth proportional to 89,107.84, 122,971.40 and 48,825.12 is: 67,380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,107.84 : 122,971.40 = 48,825.12 : x
  2. Step 2: Convert to fraction form
    89,107.84/122,971.40 = 48,825.12/x
  3. Step 3: Cross multiply
    89,107.84x = 122,971.40 × 48,825.12
  4. Step 4: Simplify right side
    89,107.84x = 6,004,093,361.57
  5. Step 5: Solve for x
    x = 6,004,093,361.57/89,107.84
  6. Step 6: Final answer
    x = 67,380.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.