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Finding the Fourth Proportional to 102,686.90, 154,046.55 and 32,573.30

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Solution

The fourth proportional to 102,686.90, 154,046.55 and 32,573.30 is: 48,865.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,686.90 : 154,046.55 = 32,573.30 : x
  2. Step 2: Convert to fraction form
    102,686.90/154,046.55 = 32,573.30/x
  3. Step 3: Cross multiply
    102,686.90x = 154,046.55 × 32,573.30
  4. Step 4: Simplify right side
    102,686.90x = 5,017,804,487.12
  5. Step 5: Solve for x
    x = 5,017,804,487.12/102,686.90
  6. Step 6: Final answer
    x = 48,865.09

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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.