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Finding the Fourth Proportional to 29,998.96, 44,998.44 and 9,219.76

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Solution

The fourth proportional to 29,998.96, 44,998.44 and 9,219.76 is: 13,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,998.96 : 44,998.44 = 9,219.76 : x
  2. Step 2: Convert to fraction form
    29,998.96/44,998.44 = 9,219.76/x
  3. Step 3: Cross multiply
    29,998.96x = 44,998.44 × 9,219.76
  4. Step 4: Simplify right side
    29,998.96x = 414,874,817.17
  5. Step 5: Solve for x
    x = 414,874,817.17/29,998.96
  6. Step 6: Final answer
    x = 13,829.64

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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.