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Finding the Fourth Proportional to 65,963.84, 98,945.77 and 29,027.84

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Solution

The fourth proportional to 65,963.84, 98,945.77 and 29,027.84 is: 43,541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,963.84 : 98,945.77 = 29,027.84 : x
  2. Step 2: Convert to fraction form
    65,963.84/98,945.77 = 29,027.84/x
  3. Step 3: Cross multiply
    65,963.84x = 98,945.77 × 29,027.84
  4. Step 4: Simplify right side
    65,963.84x = 2,872,182,242.43
  5. Step 5: Solve for x
    x = 2,872,182,242.43/65,963.84
  6. Step 6: Final answer
    x = 43,541.77

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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.