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Finding the Fourth Proportional to 32,389, 48,583.50 and 9,016.05

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Solution

The fourth proportional to 32,389, 48,583.50 and 9,016.05 is: 13,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,389 : 48,583.50 = 9,016.05 : x
  2. Step 2: Convert to fraction form
    32,389/48,583.50 = 9,016.05/x
  3. Step 3: Cross multiply
    32,389x = 48,583.50 × 9,016.05
  4. Step 4: Simplify right side
    32,389x = 438,031,022.26
  5. Step 5: Solve for x
    x = 438,031,022.26/32,389
  6. Step 6: Final answer
    x = 13,524.07

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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.