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Finding the Fourth Proportional to 34,171.84, 51,259.31 and 10,477.66

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Solution

The fourth proportional to 34,171.84, 51,259.31 and 10,477.66 is: 15,716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,171.84 : 51,259.31 = 10,477.66 : x
  2. Step 2: Convert to fraction form
    34,171.84/51,259.31 = 10,477.66/x
  3. Step 3: Cross multiply
    34,171.84x = 51,259.31 × 10,477.66
  4. Step 4: Simplify right side
    34,171.84x = 537,077,663.70
  5. Step 5: Solve for x
    x = 537,077,663.70/34,171.84
  6. Step 6: Final answer
    x = 15,716.96

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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.