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Finding the Fourth Proportional to 34,501.56, 51,739.62 and 12,309

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Solution

The fourth proportional to 34,501.56, 51,739.62 and 12,309 is: 18,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,501.56 : 51,739.62 = 12,309 : x
  2. Step 2: Convert to fraction form
    34,501.56/51,739.62 = 12,309/x
  3. Step 3: Cross multiply
    34,501.56x = 51,739.62 × 12,309
  4. Step 4: Simplify right side
    34,501.56x = 636,862,982.58
  5. Step 5: Solve for x
    x = 636,862,982.58/34,501.56
  6. Step 6: Final answer
    x = 18,458.96

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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.