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Finding the Fourth Proportional to 109,804.77, 164,718.36 and 29,844

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Solution

The fourth proportional to 109,804.77, 164,718.36 and 29,844 is: 44,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,804.77 : 164,718.36 = 29,844 : x
  2. Step 2: Convert to fraction form
    109,804.77/164,718.36 = 29,844/x
  3. Step 3: Cross multiply
    109,804.77x = 164,718.36 × 29,844
  4. Step 4: Simplify right side
    109,804.77x = 4,915,854,735.84
  5. Step 5: Solve for x
    x = 4,915,854,735.84/109,804.77
  6. Step 6: Final answer
    x = 44,769.05

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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.