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Finding the Fourth Proportional to 30,597.38, 42,219.26 and 18,024.62

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Solution

The fourth proportional to 30,597.38, 42,219.26 and 18,024.62 is: 24,870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.38 : 42,219.26 = 18,024.62 : x
  2. Step 2: Convert to fraction form
    30,597.38/42,219.26 = 18,024.62/x
  3. Step 3: Cross multiply
    30,597.38x = 42,219.26 × 18,024.62
  4. Step 4: Simplify right side
    30,597.38x = 760,986,118.18
  5. Step 5: Solve for x
    x = 760,986,118.18/30,597.38
  6. Step 6: Final answer
    x = 24,870.96

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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.