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Finding the Fourth Proportional to 32,551.96, 48,835.32 and 11,775.48

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Solution

The fourth proportional to 32,551.96, 48,835.32 and 11,775.48 is: 17,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,551.96 : 48,835.32 = 11,775.48 : x
  2. Step 2: Convert to fraction form
    32,551.96/48,835.32 = 11,775.48/x
  3. Step 3: Cross multiply
    32,551.96x = 48,835.32 × 11,775.48
  4. Step 4: Simplify right side
    32,551.96x = 575,059,333.95
  5. Step 5: Solve for x
    x = 575,059,333.95/32,551.96
  6. Step 6: Final answer
    x = 17,665.89

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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.