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Finding the Fourth Proportional to 32,585.88, 48,881.67 and 9,212.33

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Solution

The fourth proportional to 32,585.88, 48,881.67 and 9,212.33 is: 13,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,585.88 : 48,881.67 = 9,212.33 : x
  2. Step 2: Convert to fraction form
    32,585.88/48,881.67 = 9,212.33/x
  3. Step 3: Cross multiply
    32,585.88x = 48,881.67 × 9,212.33
  4. Step 4: Simplify right side
    32,585.88x = 450,313,830.58
  5. Step 5: Solve for x
    x = 450,313,830.58/32,585.88
  6. Step 6: Final answer
    x = 13,819.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.