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Finding the Fourth Proportional to 106,445.20, 159,658.80 and 32,573.20

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Solution

The fourth proportional to 106,445.20, 159,658.80 and 32,573.20 is: 48,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,445.20 : 159,658.80 = 32,573.20 : x
  2. Step 2: Convert to fraction form
    106,445.20/159,658.80 = 32,573.20/x
  3. Step 3: Cross multiply
    106,445.20x = 159,658.80 × 32,573.20
  4. Step 4: Simplify right side
    106,445.20x = 5,200,598,024.16
  5. Step 5: Solve for x
    x = 5,200,598,024.16/106,445.20
  6. Step 6: Final answer
    x = 48,857.05

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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.