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Finding the Fourth Proportional to 65,271.22, 97,907.74 and 18,524.09

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Solution

The fourth proportional to 65,271.22, 97,907.74 and 18,524.09 is: 27,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,271.22 : 97,907.74 = 18,524.09 : x
  2. Step 2: Convert to fraction form
    65,271.22/97,907.74 = 18,524.09/x
  3. Step 3: Cross multiply
    65,271.22x = 97,907.74 × 18,524.09
  4. Step 4: Simplify right side
    65,271.22x = 1,813,651,985.92
  5. Step 5: Solve for x
    x = 1,813,651,985.92/65,271.22
  6. Step 6: Final answer
    x = 27,786.40

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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.