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Finding the Fourth Proportional to 65,894.74, 98,827.28 and 30,321.92

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Solution

The fourth proportional to 65,894.74, 98,827.28 and 30,321.92 is: 45,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,894.74 : 98,827.28 = 30,321.92 : x
  2. Step 2: Convert to fraction form
    65,894.74/98,827.28 = 30,321.92/x
  3. Step 3: Cross multiply
    65,894.74x = 98,827.28 × 30,321.92
  4. Step 4: Simplify right side
    65,894.74x = 2,996,632,877.98
  5. Step 5: Solve for x
    x = 2,996,632,877.98/65,894.74
  6. Step 6: Final answer
    x = 45,476.06

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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.