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Finding the Fourth Proportional to 89,378.50, 134,084.20 and 29,410.32

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Solution

The fourth proportional to 89,378.50, 134,084.20 and 29,410.32 is: 44,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,378.50 : 134,084.20 = 29,410.32 : x
  2. Step 2: Convert to fraction form
    89,378.50/134,084.20 = 29,410.32/x
  3. Step 3: Cross multiply
    89,378.50x = 134,084.20 × 29,410.32
  4. Step 4: Simplify right side
    89,378.50x = 3,943,459,228.94
  5. Step 5: Solve for x
    x = 3,943,459,228.94/89,378.50
  6. Step 6: Final answer
    x = 44,120.89

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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.