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Finding the Fourth Proportional to 65,143.44, 97,729.74 and 25,699.68

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Solution

The fourth proportional to 65,143.44, 97,729.74 and 25,699.68 is: 38,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,143.44 : 97,729.74 = 25,699.68 : x
  2. Step 2: Convert to fraction form
    65,143.44/97,729.74 = 25,699.68/x
  3. Step 3: Cross multiply
    65,143.44x = 97,729.74 × 25,699.68
  4. Step 4: Simplify right side
    65,143.44x = 2,511,623,044.48
  5. Step 5: Solve for x
    x = 2,511,623,044.48/65,143.44
  6. Step 6: Final answer
    x = 38,555.27

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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.