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Finding the Fourth Proportional to 65,893.96, 98,803.05 and 20,289.83

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Solution

The fourth proportional to 65,893.96, 98,803.05 and 20,289.83 is: 30,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,893.96 : 98,803.05 = 20,289.83 : x
  2. Step 2: Convert to fraction form
    65,893.96/98,803.05 = 20,289.83/x
  3. Step 3: Cross multiply
    65,893.96x = 98,803.05 × 20,289.83
  4. Step 4: Simplify right side
    65,893.96x = 2,004,697,087.98
  5. Step 5: Solve for x
    x = 2,004,697,087.98/65,893.96
  6. Step 6: Final answer
    x = 30,423.08

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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.