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Finding the Fourth Proportional to 65,597.50, 98,412.89 and 18,850.42

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Solution

The fourth proportional to 65,597.50, 98,412.89 and 18,850.42 is: 28,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,597.50 : 98,412.89 = 18,850.42 : x
  2. Step 2: Convert to fraction form
    65,597.50/98,412.89 = 18,850.42/x
  3. Step 3: Cross multiply
    65,597.50x = 98,412.89 × 18,850.42
  4. Step 4: Simplify right side
    65,597.50x = 1,855,124,309.91
  5. Step 5: Solve for x
    x = 1,855,124,309.91/65,597.50
  6. Step 6: Final answer
    x = 28,280.41

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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.