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Finding the Fourth Proportional to 65,894.92, 98,827.56 and 30,322.12

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Solution

The fourth proportional to 65,894.92, 98,827.56 and 30,322.12 is: 45,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,894.92 : 98,827.56 = 30,322.12 : x
  2. Step 2: Convert to fraction form
    65,894.92/98,827.56 = 30,322.12/x
  3. Step 3: Cross multiply
    65,894.92x = 98,827.56 × 30,322.12
  4. Step 4: Simplify right side
    65,894.92x = 2,996,660,487.88
  5. Step 5: Solve for x
    x = 2,996,660,487.88/65,894.92
  6. Step 6: Final answer
    x = 45,476.35

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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.