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Finding the Fourth Proportional to 46,822.98, 70,201.67 and 17,236.98

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Solution

The fourth proportional to 46,822.98, 70,201.67 and 17,236.98 is: 25,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,822.98 : 70,201.67 = 17,236.98 : x
  2. Step 2: Convert to fraction form
    46,822.98/70,201.67 = 17,236.98/x
  3. Step 3: Cross multiply
    46,822.98x = 70,201.67 × 17,236.98
  4. Step 4: Simplify right side
    46,822.98x = 1,210,064,695.57
  5. Step 5: Solve for x
    x = 1,210,064,695.57/46,822.98
  6. Step 6: Final answer
    x = 25,843.39

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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.