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Finding the Fourth Proportional to 32,535.91, 48,799.54 and 9,164.17

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Solution

The fourth proportional to 32,535.91, 48,799.54 and 9,164.17 is: 13,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,535.91 : 48,799.54 = 9,164.17 : x
  2. Step 2: Convert to fraction form
    32,535.91/48,799.54 = 9,164.17/x
  3. Step 3: Cross multiply
    32,535.91x = 48,799.54 × 9,164.17
  4. Step 4: Simplify right side
    32,535.91x = 447,206,990.66
  5. Step 5: Solve for x
    x = 447,206,990.66/32,535.91
  6. Step 6: Final answer
    x = 13,745.03

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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.