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Finding the Fourth Proportional to 32,840.34, 49,238.01 and 11,779.92

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Solution

The fourth proportional to 32,840.34, 49,238.01 and 11,779.92 is: 17,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,840.34 : 49,238.01 = 11,779.92 : x
  2. Step 2: Convert to fraction form
    32,840.34/49,238.01 = 11,779.92/x
  3. Step 3: Cross multiply
    32,840.34x = 49,238.01 × 11,779.92
  4. Step 4: Simplify right side
    32,840.34x = 580,019,818.76
  5. Step 5: Solve for x
    x = 580,019,818.76/32,840.34
  6. Step 6: Final answer
    x = 17,661.81

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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.