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Finding the Fourth Proportional to 65,257.83, 97,849.02 and 34,825.42

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Solution

The fourth proportional to 65,257.83, 97,849.02 and 34,825.42 is: 52,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,257.83 : 97,849.02 = 34,825.42 : x
  2. Step 2: Convert to fraction form
    65,257.83/97,849.02 = 34,825.42/x
  3. Step 3: Cross multiply
    65,257.83x = 97,849.02 × 34,825.42
  4. Step 4: Simplify right side
    65,257.83x = 3,407,633,218.09
  5. Step 5: Solve for x
    x = 3,407,633,218.09/65,257.83
  6. Step 6: Final answer
    x = 52,218.00

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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.