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Finding the Fourth Proportional to 31,454.82, 43,407.65 and 17,307.36

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Solution

The fourth proportional to 31,454.82, 43,407.65 and 17,307.36 is: 23,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,454.82 : 43,407.65 = 17,307.36 : x
  2. Step 2: Convert to fraction form
    31,454.82/43,407.65 = 17,307.36/x
  3. Step 3: Cross multiply
    31,454.82x = 43,407.65 × 17,307.36
  4. Step 4: Simplify right side
    31,454.82x = 751,271,738.77
  5. Step 5: Solve for x
    x = 751,271,738.77/31,454.82
  6. Step 6: Final answer
    x = 23,884.15

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