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Finding the Fourth Proportional to 34,714.56, 52,071.38 and 8,419.52

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Solution

The fourth proportional to 34,714.56, 52,071.38 and 8,419.52 is: 12,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,714.56 : 52,071.38 = 8,419.52 : x
  2. Step 2: Convert to fraction form
    34,714.56/52,071.38 = 8,419.52/x
  3. Step 3: Cross multiply
    34,714.56x = 52,071.38 × 8,419.52
  4. Step 4: Simplify right side
    34,714.56x = 438,416,025.34
  5. Step 5: Solve for x
    x = 438,416,025.34/34,714.56
  6. Step 6: Final answer
    x = 12,629.17

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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.