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Finding the Fourth Proportional to 30,773.42, 46,141.65 and 12,031.11

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Solution

The fourth proportional to 30,773.42, 46,141.65 and 12,031.11 is: 18,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.42 : 46,141.65 = 12,031.11 : x
  2. Step 2: Convert to fraction form
    30,773.42/46,141.65 = 12,031.11/x
  3. Step 3: Cross multiply
    30,773.42x = 46,141.65 × 12,031.11
  4. Step 4: Simplify right side
    30,773.42x = 555,135,136.96
  5. Step 5: Solve for x
    x = 555,135,136.96/30,773.42
  6. Step 6: Final answer
    x = 18,039.44

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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.