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Finding the Fourth Proportional to 34,477.47, 51,716.34 and 12,291.66

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Solution

The fourth proportional to 34,477.47, 51,716.34 and 12,291.66 is: 18,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,477.47 : 51,716.34 = 12,291.66 : x
  2. Step 2: Convert to fraction form
    34,477.47/51,716.34 = 12,291.66/x
  3. Step 3: Cross multiply
    34,477.47x = 51,716.34 × 12,291.66
  4. Step 4: Simplify right side
    34,477.47x = 635,679,667.72
  5. Step 5: Solve for x
    x = 635,679,667.72/34,477.47
  6. Step 6: Final answer
    x = 18,437.54

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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.