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Finding the Fourth Proportional to 30,291.98, 45,440.22 and 9,233.84

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Solution

The fourth proportional to 30,291.98, 45,440.22 and 9,233.84 is: 13,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.98 : 45,440.22 = 9,233.84 : x
  2. Step 2: Convert to fraction form
    30,291.98/45,440.22 = 9,233.84/x
  3. Step 3: Cross multiply
    30,291.98x = 45,440.22 × 9,233.84
  4. Step 4: Simplify right side
    30,291.98x = 419,587,493.84
  5. Step 5: Solve for x
    x = 419,587,493.84/30,291.98
  6. Step 6: Final answer
    x = 13,851.44

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1.5x scale

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.