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Finding the Fourth Proportional to 30,312.42, 41,850.30 and 22,340.76

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Solution

The fourth proportional to 30,312.42, 41,850.30 and 22,340.76 is: 30,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,312.42 : 41,850.30 = 22,340.76 : x
  2. Step 2: Convert to fraction form
    30,312.42/41,850.30 = 22,340.76/x
  3. Step 3: Cross multiply
    30,312.42x = 41,850.30 × 22,340.76
  4. Step 4: Simplify right side
    30,312.42x = 934,967,508.23
  5. Step 5: Solve for x
    x = 934,967,508.23/30,312.42
  6. Step 6: Final answer
    x = 30,844.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.