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Finding the Fourth Proportional to 30,415.28, 45,623.16 and 8,228.84

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Solution

The fourth proportional to 30,415.28, 45,623.16 and 8,228.84 is: 12,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.28 : 45,623.16 = 8,228.84 : x
  2. Step 2: Convert to fraction form
    30,415.28/45,623.16 = 8,228.84/x
  3. Step 3: Cross multiply
    30,415.28x = 45,623.16 × 8,228.84
  4. Step 4: Simplify right side
    30,415.28x = 375,425,683.93
  5. Step 5: Solve for x
    x = 375,425,683.93/30,415.28
  6. Step 6: Final answer
    x = 12,343.32

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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.