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Finding the Fourth Proportional to 56,447.67, 84,710.39 and 19,511.67

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Solution

The fourth proportional to 56,447.67, 84,710.39 and 19,511.67 is: 29,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,447.67 : 84,710.39 = 19,511.67 : x
  2. Step 2: Convert to fraction form
    56,447.67/84,710.39 = 19,511.67/x
  3. Step 3: Cross multiply
    56,447.67x = 84,710.39 × 19,511.67
  4. Step 4: Simplify right side
    56,447.67x = 1,652,841,175.25
  5. Step 5: Solve for x
    x = 1,652,841,175.25/56,447.67
  6. Step 6: Final answer
    x = 29,280.95

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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.