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Finding the Fourth Proportional to 30,785.19, 42,483.50 and 16,638

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Solution

The fourth proportional to 30,785.19, 42,483.50 and 16,638 is: 22,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.19 : 42,483.50 = 16,638 : x
  2. Step 2: Convert to fraction form
    30,785.19/42,483.50 = 16,638/x
  3. Step 3: Cross multiply
    30,785.19x = 42,483.50 × 16,638
  4. Step 4: Simplify right side
    30,785.19x = 706,840,452.20
  5. Step 5: Solve for x
    x = 706,840,452.20/30,785.19
  6. Step 6: Final answer
    x = 22,960.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.