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Finding the Fourth Proportional to 37,715.56, 56,564.70 and 16,945

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Solution

The fourth proportional to 37,715.56, 56,564.70 and 16,945 is: 25,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,715.56 : 56,564.70 = 16,945 : x
  2. Step 2: Convert to fraction form
    37,715.56/56,564.70 = 16,945/x
  3. Step 3: Cross multiply
    37,715.56x = 56,564.70 × 16,945
  4. Step 4: Simplify right side
    37,715.56x = 958,488,841.50
  5. Step 5: Solve for x
    x = 958,488,841.50/37,715.56
  6. Step 6: Final answer
    x = 25,413.62

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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.