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Finding the Fourth Proportional to 98,353.60, 147,530.24 and 24,481.60

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Solution

The fourth proportional to 98,353.60, 147,530.24 and 24,481.60 is: 36,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,353.60 : 147,530.24 = 24,481.60 : x
  2. Step 2: Convert to fraction form
    98,353.60/147,530.24 = 24,481.60/x
  3. Step 3: Cross multiply
    98,353.60x = 147,530.24 × 24,481.60
  4. Step 4: Simplify right side
    98,353.60x = 3,611,776,323.58
  5. Step 5: Solve for x
    x = 3,611,776,323.58/98,353.60
  6. Step 6: Final answer
    x = 36,722.36

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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.