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Finding the Fourth Proportional to 49,970.36, 68,887.62 and 30,837.32

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Solution

The fourth proportional to 49,970.36, 68,887.62 and 30,837.32 is: 42,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,970.36 : 68,887.62 = 30,837.32 : x
  2. Step 2: Convert to fraction form
    49,970.36/68,887.62 = 30,837.32/x
  3. Step 3: Cross multiply
    49,970.36x = 68,887.62 × 30,837.32
  4. Step 4: Simplify right side
    49,970.36x = 2,124,309,581.98
  5. Step 5: Solve for x
    x = 2,124,309,581.98/49,970.36
  6. Step 6: Final answer
    x = 42,511.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.