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Finding the Fourth Proportional to 103,092.60, 154,663.20 and 32,972.52

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Solution

The fourth proportional to 103,092.60, 154,663.20 and 32,972.52 is: 49,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,092.60 : 154,663.20 = 32,972.52 : x
  2. Step 2: Convert to fraction form
    103,092.60/154,663.20 = 32,972.52/x
  3. Step 3: Cross multiply
    103,092.60x = 154,663.20 × 32,972.52
  4. Step 4: Simplify right side
    103,092.60x = 5,099,635,455.26
  5. Step 5: Solve for x
    x = 5,099,635,455.26/103,092.60
  6. Step 6: Final answer
    x = 49,466.55

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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.