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Finding the Fourth Proportional to 97,695.50, 146,543.98 and 23,823.50

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Solution

The fourth proportional to 97,695.50, 146,543.98 and 23,823.50 is: 35,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,695.50 : 146,543.98 = 23,823.50 : x
  2. Step 2: Convert to fraction form
    97,695.50/146,543.98 = 23,823.50/x
  3. Step 3: Cross multiply
    97,695.50x = 146,543.98 × 23,823.50
  4. Step 4: Simplify right side
    97,695.50x = 3,491,190,507.53
  5. Step 5: Solve for x
    x = 3,491,190,507.53/97,695.50
  6. Step 6: Final answer
    x = 35,735.43

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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.