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Finding the Fourth Proportional to 30,291.94, 45,432.44 and 9,226.94

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Solution

The fourth proportional to 30,291.94, 45,432.44 and 9,226.94 is: 13,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.94 : 45,432.44 = 9,226.94 : x
  2. Step 2: Convert to fraction form
    30,291.94/45,432.44 = 9,226.94/x
  3. Step 3: Cross multiply
    30,291.94x = 45,432.44 × 9,226.94
  4. Step 4: Simplify right side
    30,291.94x = 419,202,351.80
  5. Step 5: Solve for x
    x = 419,202,351.80/30,291.94
  6. Step 6: Final answer
    x = 13,838.74

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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.