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Finding the Fourth Proportional to 31,804.68, 43,888.26 and 17,656.38

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Solution

The fourth proportional to 31,804.68, 43,888.26 and 17,656.38 is: 24,364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.68 : 43,888.26 = 17,656.38 : x
  2. Step 2: Convert to fraction form
    31,804.68/43,888.26 = 17,656.38/x
  3. Step 3: Cross multiply
    31,804.68x = 43,888.26 × 17,656.38
  4. Step 4: Simplify right side
    31,804.68x = 774,907,796.10
  5. Step 5: Solve for x
    x = 774,907,796.10/31,804.68
  6. Step 6: Final answer
    x = 24,364.58

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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.