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Finding the Fourth Proportional to 34,478.97, 51,676.65 and 15,733.32

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Solution

The fourth proportional to 34,478.97, 51,676.65 and 15,733.32 is: 23,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,478.97 : 51,676.65 = 15,733.32 : x
  2. Step 2: Convert to fraction form
    34,478.97/51,676.65 = 15,733.32/x
  3. Step 3: Cross multiply
    34,478.97x = 51,676.65 × 15,733.32
  4. Step 4: Simplify right side
    34,478.97x = 813,045,270.98
  5. Step 5: Solve for x
    x = 813,045,270.98/34,478.97
  6. Step 6: Final answer
    x = 23,580.90

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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.