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Finding the Fourth Proportional to 97,424.70, 146,100.60 and 34,220.40

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Solution

The fourth proportional to 97,424.70, 146,100.60 and 34,220.40 is: 51,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,424.70 : 146,100.60 = 34,220.40 : x
  2. Step 2: Convert to fraction form
    97,424.70/146,100.60 = 34,220.40/x
  3. Step 3: Cross multiply
    97,424.70x = 146,100.60 × 34,220.40
  4. Step 4: Simplify right side
    97,424.70x = 4,999,620,972.24
  5. Step 5: Solve for x
    x = 4,999,620,972.24/97,424.70
  6. Step 6: Final answer
    x = 51,317.80

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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.