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Finding the Fourth Proportional to 65,864.77, 98,797.22 and 30,829.03

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Solution

The fourth proportional to 65,864.77, 98,797.22 and 30,829.03 is: 46,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,864.77 : 98,797.22 = 30,829.03 : x
  2. Step 2: Convert to fraction form
    65,864.77/98,797.22 = 30,829.03/x
  3. Step 3: Cross multiply
    65,864.77x = 98,797.22 × 30,829.03
  4. Step 4: Simplify right side
    65,864.77x = 3,045,822,173.77
  5. Step 5: Solve for x
    x = 3,045,822,173.77/65,864.77
  6. Step 6: Final answer
    x = 46,243.57

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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.