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Finding the Fourth Proportional to 97,474.48, 146,211.24 and 23,602.48

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Solution

The fourth proportional to 97,474.48, 146,211.24 and 23,602.48 is: 35,403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,474.48 : 146,211.24 = 23,602.48 : x
  2. Step 2: Convert to fraction form
    97,474.48/146,211.24 = 23,602.48/x
  3. Step 3: Cross multiply
    97,474.48x = 146,211.24 × 23,602.48
  4. Step 4: Simplify right side
    97,474.48x = 3,450,947,867.88
  5. Step 5: Solve for x
    x = 3,450,947,867.88/97,474.48
  6. Step 6: Final answer
    x = 35,403.60

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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.