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Finding the Fourth Proportional to 32,677.61, 49,013.67 and 10,484.96

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Solution

The fourth proportional to 32,677.61, 49,013.67 and 10,484.96 is: 15,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.61 : 49,013.67 = 10,484.96 : x
  2. Step 2: Convert to fraction form
    32,677.61/49,013.67 = 10,484.96/x
  3. Step 3: Cross multiply
    32,677.61x = 49,013.67 × 10,484.96
  4. Step 4: Simplify right side
    32,677.61x = 513,906,369.40
  5. Step 5: Solve for x
    x = 513,906,369.40/32,677.61
  6. Step 6: Final answer
    x = 15,726.56

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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.