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Finding the Fourth Proportional to 65,449, 98,173.50 and 16,201

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Solution

The fourth proportional to 65,449, 98,173.50 and 16,201 is: 24,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,449 : 98,173.50 = 16,201 : x
  2. Step 2: Convert to fraction form
    65,449/98,173.50 = 16,201/x
  3. Step 3: Cross multiply
    65,449x = 98,173.50 × 16,201
  4. Step 4: Simplify right side
    65,449x = 1,590,508,873.50
  5. Step 5: Solve for x
    x = 1,590,508,873.50/65,449
  6. Step 6: Final answer
    x = 24,301.50

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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.