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Finding the Fourth Proportional to 37,733, 56,625.42 and 13,109

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Solution

The fourth proportional to 37,733, 56,625.42 and 13,109 is: 19,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,733 : 56,625.42 = 13,109 : x
  2. Step 2: Convert to fraction form
    37,733/56,625.42 = 13,109/x
  3. Step 3: Cross multiply
    37,733x = 56,625.42 × 13,109
  4. Step 4: Simplify right side
    37,733x = 742,302,630.78
  5. Step 5: Solve for x
    x = 742,302,630.78/37,733
  6. Step 6: Final answer
    x = 19,672.50

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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.