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Finding the Fourth Proportional to 32,562.96, 44,945.74 and 19,138.54

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Solution

The fourth proportional to 32,562.96, 44,945.74 and 19,138.54 is: 26,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,562.96 : 44,945.74 = 19,138.54 : x
  2. Step 2: Convert to fraction form
    32,562.96/44,945.74 = 19,138.54/x
  3. Step 3: Cross multiply
    32,562.96x = 44,945.74 × 19,138.54
  4. Step 4: Simplify right side
    32,562.96x = 860,195,842.82
  5. Step 5: Solve for x
    x = 860,195,842.82/32,562.96
  6. Step 6: Final answer
    x = 26,416.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.