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Finding the Fourth Proportional to 34,415.68, 51,617.33 and 9,115.35

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Solution

The fourth proportional to 34,415.68, 51,617.33 and 9,115.35 is: 13,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,415.68 : 51,617.33 = 9,115.35 : x
  2. Step 2: Convert to fraction form
    34,415.68/51,617.33 = 9,115.35/x
  3. Step 3: Cross multiply
    34,415.68x = 51,617.33 × 9,115.35
  4. Step 4: Simplify right side
    34,415.68x = 470,510,029.02
  5. Step 5: Solve for x
    x = 470,510,029.02/34,415.68
  6. Step 6: Final answer
    x = 13,671.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.