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Finding the Fourth Proportional to 65,728.74, 98,603.10 and 24,172.50

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Solution

The fourth proportional to 65,728.74, 98,603.10 and 24,172.50 is: 36,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,728.74 : 98,603.10 = 24,172.50 : x
  2. Step 2: Convert to fraction form
    65,728.74/98,603.10 = 24,172.50/x
  3. Step 3: Cross multiply
    65,728.74x = 98,603.10 × 24,172.50
  4. Step 4: Simplify right side
    65,728.74x = 2,383,483,434.75
  5. Step 5: Solve for x
    x = 2,383,483,434.75/65,728.74
  6. Step 6: Final answer
    x = 36,262.42

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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.