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Finding the Fourth Proportional to 65,071.45, 97,622.21 and 27,632.75

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Solution

The fourth proportional to 65,071.45, 97,622.21 and 27,632.75 is: 41,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,071.45 : 97,622.21 = 27,632.75 : x
  2. Step 2: Convert to fraction form
    65,071.45/97,622.21 = 27,632.75/x
  3. Step 3: Cross multiply
    65,071.45x = 97,622.21 × 27,632.75
  4. Step 4: Simplify right side
    65,071.45x = 2,697,569,704.35
  5. Step 5: Solve for x
    x = 2,697,569,704.35/65,071.45
  6. Step 6: Final answer
    x = 41,455.50

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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.