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Finding the Fourth Proportional to 32,859.72, 49,289.61 and 9,166.32

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Solution

The fourth proportional to 32,859.72, 49,289.61 and 9,166.32 is: 13,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,859.72 : 49,289.61 = 9,166.32 : x
  2. Step 2: Convert to fraction form
    32,859.72/49,289.61 = 9,166.32/x
  3. Step 3: Cross multiply
    32,859.72x = 49,289.61 × 9,166.32
  4. Step 4: Simplify right side
    32,859.72x = 451,804,337.94
  5. Step 5: Solve for x
    x = 451,804,337.94/32,859.72
  6. Step 6: Final answer
    x = 13,749.49

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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.