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Finding the Fourth Proportional to 30,559.25, 45,846.05 and 9,498.21

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Solution

The fourth proportional to 30,559.25, 45,846.05 and 9,498.21 is: 14,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,559.25 : 45,846.05 = 9,498.21 : x
  2. Step 2: Convert to fraction form
    30,559.25/45,846.05 = 9,498.21/x
  3. Step 3: Cross multiply
    30,559.25x = 45,846.05 × 9,498.21
  4. Step 4: Simplify right side
    30,559.25x = 435,455,363.08
  5. Step 5: Solve for x
    x = 435,455,363.08/30,559.25
  6. Step 6: Final answer
    x = 14,249.55

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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.