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Finding the Fourth Proportional to 29,619.20, 44,431.10 and 9,897.83

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Solution

The fourth proportional to 29,619.20, 44,431.10 and 9,897.83 is: 14,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,619.20 : 44,431.10 = 9,897.83 : x
  2. Step 2: Convert to fraction form
    29,619.20/44,431.10 = 9,897.83/x
  3. Step 3: Cross multiply
    29,619.20x = 44,431.10 × 9,897.83
  4. Step 4: Simplify right side
    29,619.20x = 439,771,202.87
  5. Step 5: Solve for x
    x = 439,771,202.87/29,619.20
  6. Step 6: Final answer
    x = 14,847.50

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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.