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Finding the Fourth Proportional to 34,152.74, 51,234.58 and 14,431.47

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Solution

The fourth proportional to 34,152.74, 51,234.58 and 14,431.47 is: 21,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,152.74 : 51,234.58 = 14,431.47 : x
  2. Step 2: Convert to fraction form
    34,152.74/51,234.58 = 14,431.47/x
  3. Step 3: Cross multiply
    34,152.74x = 51,234.58 × 14,431.47
  4. Step 4: Simplify right side
    34,152.74x = 739,390,048.97
  5. Step 5: Solve for x
    x = 739,390,048.97/34,152.74
  6. Step 6: Final answer
    x = 21,649.51

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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.