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Finding the Fourth Proportional to 37,572.49, 56,362.49 and 13,886.26

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Solution

The fourth proportional to 37,572.49, 56,362.49 and 13,886.26 is: 20,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,572.49 : 56,362.49 = 13,886.26 : x
  2. Step 2: Convert to fraction form
    37,572.49/56,362.49 = 13,886.26/x
  3. Step 3: Cross multiply
    37,572.49x = 56,362.49 × 13,886.26
  4. Step 4: Simplify right side
    37,572.49x = 782,664,190.39
  5. Step 5: Solve for x
    x = 782,664,190.39/37,572.49
  6. Step 6: Final answer
    x = 20,830.78

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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.