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Finding the Fourth Proportional to 30,343, 45,514.44 and 8,156.38

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Solution

The fourth proportional to 30,343, 45,514.44 and 8,156.38 is: 12,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343 : 45,514.44 = 8,156.38 : x
  2. Step 2: Convert to fraction form
    30,343/45,514.44 = 8,156.38/x
  3. Step 3: Cross multiply
    30,343x = 45,514.44 × 8,156.38
  4. Step 4: Simplify right side
    30,343x = 371,233,068.13
  5. Step 5: Solve for x
    x = 371,233,068.13/30,343
  6. Step 6: Final answer
    x = 12,234.55

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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.