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Finding the Fourth Proportional to 30,577.23, 45,860.94 and 8,385.48

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Solution

The fourth proportional to 30,577.23, 45,860.94 and 8,385.48 is: 12,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.23 : 45,860.94 = 8,385.48 : x
  2. Step 2: Convert to fraction form
    30,577.23/45,860.94 = 8,385.48/x
  3. Step 3: Cross multiply
    30,577.23x = 45,860.94 × 8,385.48
  4. Step 4: Simplify right side
    30,577.23x = 384,565,995.15
  5. Step 5: Solve for x
    x = 384,565,995.15/30,577.23
  6. Step 6: Final answer
    x = 12,576.87

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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.