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Finding the Fourth Proportional to 32,265, 48,416.94 and 13,797

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Solution

The fourth proportional to 32,265, 48,416.94 and 13,797 is: 20,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,265 : 48,416.94 = 13,797 : x
  2. Step 2: Convert to fraction form
    32,265/48,416.94 = 13,797/x
  3. Step 3: Cross multiply
    32,265x = 48,416.94 × 13,797
  4. Step 4: Simplify right side
    32,265x = 668,008,521.18
  5. Step 5: Solve for x
    x = 668,008,521.18/32,265
  6. Step 6: Final answer
    x = 20,703.81

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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.