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Finding the Fourth Proportional to 30,315.62, 45,467.25 and 8,123.81

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Solution

The fourth proportional to 30,315.62, 45,467.25 and 8,123.81 is: 12,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,315.62 : 45,467.25 = 8,123.81 : x
  2. Step 2: Convert to fraction form
    30,315.62/45,467.25 = 8,123.81/x
  3. Step 3: Cross multiply
    30,315.62x = 45,467.25 × 8,123.81
  4. Step 4: Simplify right side
    30,315.62x = 369,367,072.89
  5. Step 5: Solve for x
    x = 369,367,072.89/30,315.62
  6. Step 6: Final answer
    x = 12,184.05

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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.