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Finding the Fourth Proportional to 65,230.93, 97,846.44 and 15,982.93

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Solution

The fourth proportional to 65,230.93, 97,846.44 and 15,982.93 is: 23,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,230.93 : 97,846.44 = 15,982.93 : x
  2. Step 2: Convert to fraction form
    65,230.93/97,846.44 = 15,982.93/x
  3. Step 3: Cross multiply
    65,230.93x = 97,846.44 × 15,982.93
  4. Step 4: Simplify right side
    65,230.93x = 1,563,872,801.27
  5. Step 5: Solve for x
    x = 1,563,872,801.27/65,230.93
  6. Step 6: Final answer
    x = 23,974.41

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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.