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Finding the Fourth Proportional to 32,087, 48,149.94 and 13,619

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Solution

The fourth proportional to 32,087, 48,149.94 and 13,619 is: 20,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,087 : 48,149.94 = 13,619 : x
  2. Step 2: Convert to fraction form
    32,087/48,149.94 = 13,619/x
  3. Step 3: Cross multiply
    32,087x = 48,149.94 × 13,619
  4. Step 4: Simplify right side
    32,087x = 655,754,032.86
  5. Step 5: Solve for x
    x = 655,754,032.86/32,087
  6. Step 6: Final answer
    x = 20,436.75

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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.