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Finding the Fourth Proportional to 65,928.94, 98,909.81 and 19,181.81

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Solution

The fourth proportional to 65,928.94, 98,909.81 and 19,181.81 is: 28,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,928.94 : 98,909.81 = 19,181.81 : x
  2. Step 2: Convert to fraction form
    65,928.94/98,909.81 = 19,181.81/x
  3. Step 3: Cross multiply
    65,928.94x = 98,909.81 × 19,181.81
  4. Step 4: Simplify right side
    65,928.94x = 1,897,269,405.85
  5. Step 5: Solve for x
    x = 1,897,269,405.85/65,928.94
  6. Step 6: Final answer
    x = 28,777.49

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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.