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Finding the Fourth Proportional to 34,592.84, 51,879.60 and 14,867

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Solution

The fourth proportional to 34,592.84, 51,879.60 and 14,867 is: 22,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,592.84 : 51,879.60 = 14,867 : x
  2. Step 2: Convert to fraction form
    34,592.84/51,879.60 = 14,867/x
  3. Step 3: Cross multiply
    34,592.84x = 51,879.60 × 14,867
  4. Step 4: Simplify right side
    34,592.84x = 771,294,013.20
  5. Step 5: Solve for x
    x = 771,294,013.20/34,592.84
  6. Step 6: Final answer
    x = 22,296.35

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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.