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Finding the Fourth Proportional to 33,032.12, 49,548.63 and 9,658.55

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Solution

The fourth proportional to 33,032.12, 49,548.63 and 9,658.55 is: 14,487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,032.12 : 49,548.63 = 9,658.55 : x
  2. Step 2: Convert to fraction form
    33,032.12/49,548.63 = 9,658.55/x
  3. Step 3: Cross multiply
    33,032.12x = 49,548.63 × 9,658.55
  4. Step 4: Simplify right side
    33,032.12x = 478,567,672.54
  5. Step 5: Solve for x
    x = 478,567,672.54/33,032.12
  6. Step 6: Final answer
    x = 14,487.95

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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.