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Finding the Fourth Proportional to 34,709.58, 52,064.69 and 8,414.35

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Solution

The fourth proportional to 34,709.58, 52,064.69 and 8,414.35 is: 12,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,709.58 : 52,064.69 = 8,414.35 : x
  2. Step 2: Convert to fraction form
    34,709.58/52,064.69 = 8,414.35/x
  3. Step 3: Cross multiply
    34,709.58x = 52,064.69 × 8,414.35
  4. Step 4: Simplify right side
    34,709.58x = 438,090,352.07
  5. Step 5: Solve for x
    x = 438,090,352.07/34,709.58
  6. Step 6: Final answer
    x = 12,621.60

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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.