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Finding the Fourth Proportional to 34,188.50, 51,284.31 and 10,494.32

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Solution

The fourth proportional to 34,188.50, 51,284.31 and 10,494.32 is: 15,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,188.50 : 51,284.31 = 10,494.32 : x
  2. Step 2: Convert to fraction form
    34,188.50/51,284.31 = 10,494.32/x
  3. Step 3: Cross multiply
    34,188.50x = 51,284.31 × 10,494.32
  4. Step 4: Simplify right side
    34,188.50x = 538,193,960.12
  5. Step 5: Solve for x
    x = 538,193,960.12/34,188.50
  6. Step 6: Final answer
    x = 15,741.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.