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Finding the Fourth Proportional to 65,347.52, 97,952.64 and 32,021.44

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Solution

The fourth proportional to 65,347.52, 97,952.64 and 32,021.44 is: 47,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,347.52 : 97,952.64 = 32,021.44 : x
  2. Step 2: Convert to fraction form
    65,347.52/97,952.64 = 32,021.44/x
  3. Step 3: Cross multiply
    65,347.52x = 97,952.64 × 32,021.44
  4. Step 4: Simplify right side
    65,347.52x = 3,136,584,584.60
  5. Step 5: Solve for x
    x = 3,136,584,584.60/65,347.52
  6. Step 6: Final answer
    x = 47,998.53

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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.