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Finding the Fourth Proportional to 98,622.30, 147,933.45 and 32,064.60

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Solution

The fourth proportional to 98,622.30, 147,933.45 and 32,064.60 is: 48,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,622.30 : 147,933.45 = 32,064.60 : x
  2. Step 2: Convert to fraction form
    98,622.30/147,933.45 = 32,064.60/x
  3. Step 3: Cross multiply
    98,622.30x = 147,933.45 × 32,064.60
  4. Step 4: Simplify right side
    98,622.30x = 4,743,426,900.87
  5. Step 5: Solve for x
    x = 4,743,426,900.87/98,622.30
  6. Step 6: Final answer
    x = 48,096.90

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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.