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Finding the Fourth Proportional to 65,300.70, 97,987.96 and 27,857.24

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Solution

The fourth proportional to 65,300.70, 97,987.96 and 27,857.24 is: 41,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,300.70 : 97,987.96 = 27,857.24 : x
  2. Step 2: Convert to fraction form
    65,300.70/97,987.96 = 27,857.24/x
  3. Step 3: Cross multiply
    65,300.70x = 97,987.96 × 27,857.24
  4. Step 4: Simplify right side
    65,300.70x = 2,729,673,628.89
  5. Step 5: Solve for x
    x = 2,729,673,628.89/65,300.70
  6. Step 6: Final answer
    x = 41,801.60

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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.