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Finding the Fourth Proportional to 30,628.68, 42,267.08 and 17,016.42

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Solution

The fourth proportional to 30,628.68, 42,267.08 and 17,016.42 is: 23,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,628.68 : 42,267.08 = 17,016.42 : x
  2. Step 2: Convert to fraction form
    30,628.68/42,267.08 = 17,016.42/x
  3. Step 3: Cross multiply
    30,628.68x = 42,267.08 × 17,016.42
  4. Step 4: Simplify right side
    30,628.68x = 719,234,406.04
  5. Step 5: Solve for x
    x = 719,234,406.04/30,628.68
  6. Step 6: Final answer
    x = 23,482.39

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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.