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Finding the Fourth Proportional to 30,418.62, 45,635.26 and 9,642.12

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Solution

The fourth proportional to 30,418.62, 45,635.26 and 9,642.12 is: 14,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,418.62 : 45,635.26 = 9,642.12 : x
  2. Step 2: Convert to fraction form
    30,418.62/45,635.26 = 9,642.12/x
  3. Step 3: Cross multiply
    30,418.62x = 45,635.26 × 9,642.12
  4. Step 4: Simplify right side
    30,418.62x = 440,020,653.15
  5. Step 5: Solve for x
    x = 440,020,653.15/30,418.62
  6. Step 6: Final answer
    x = 14,465.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.