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Finding the Fourth Proportional to 34,605.77, 51,874.63 and 12,415.01

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Solution

The fourth proportional to 34,605.77, 51,874.63 and 12,415.01 is: 18,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,605.77 : 51,874.63 = 12,415.01 : x
  2. Step 2: Convert to fraction form
    34,605.77/51,874.63 = 12,415.01/x
  3. Step 3: Cross multiply
    34,605.77x = 51,874.63 × 12,415.01
  4. Step 4: Simplify right side
    34,605.77x = 644,023,759.79
  5. Step 5: Solve for x
    x = 644,023,759.79/34,605.77
  6. Step 6: Final answer
    x = 18,610.30

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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.