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Finding the Fourth Proportional to 32,297.11, 48,448.43 and 8,923.54

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Solution

The fourth proportional to 32,297.11, 48,448.43 and 8,923.54 is: 13,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,297.11 : 48,448.43 = 8,923.54 : x
  2. Step 2: Convert to fraction form
    32,297.11/48,448.43 = 8,923.54/x
  3. Step 3: Cross multiply
    32,297.11x = 48,448.43 × 8,923.54
  4. Step 4: Simplify right side
    32,297.11x = 432,331,503.04
  5. Step 5: Solve for x
    x = 432,331,503.04/32,297.11
  6. Step 6: Final answer
    x = 13,386.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.