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Finding the Fourth Proportional to 32,920.72, 49,372.27 and 9,226.94

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Solution

The fourth proportional to 32,920.72, 49,372.27 and 9,226.94 is: 13,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920.72 : 49,372.27 = 9,226.94 : x
  2. Step 2: Convert to fraction form
    32,920.72/49,372.27 = 9,226.94/x
  3. Step 3: Cross multiply
    32,920.72x = 49,372.27 × 9,226.94
  4. Step 4: Simplify right side
    32,920.72x = 455,554,703.03
  5. Step 5: Solve for x
    x = 455,554,703.03/32,920.72
  6. Step 6: Final answer
    x = 13,837.93

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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.