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Finding the Fourth Proportional to 30,979.62, 42,751.02 and 16,832.50

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Solution

The fourth proportional to 30,979.62, 42,751.02 and 16,832.50 is: 23,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,979.62 : 42,751.02 = 16,832.50 : x
  2. Step 2: Convert to fraction form
    30,979.62/42,751.02 = 16,832.50/x
  3. Step 3: Cross multiply
    30,979.62x = 42,751.02 × 16,832.50
  4. Step 4: Simplify right side
    30,979.62x = 719,606,544.15
  5. Step 5: Solve for x
    x = 719,606,544.15/30,979.62
  6. Step 6: Final answer
    x = 23,228.39

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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.