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Finding the Fourth Proportional to 30,921.38, 42,671.52 and 16,774.28

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Solution

The fourth proportional to 30,921.38, 42,671.52 and 16,774.28 is: 23,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.38 : 42,671.52 = 16,774.28 : x
  2. Step 2: Convert to fraction form
    30,921.38/42,671.52 = 16,774.28/x
  3. Step 3: Cross multiply
    30,921.38x = 42,671.52 × 16,774.28
  4. Step 4: Simplify right side
    30,921.38x = 715,783,811.15
  5. Step 5: Solve for x
    x = 715,783,811.15/30,921.38
  6. Step 6: Final answer
    x = 23,148.51

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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.