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Finding the Fourth Proportional to 31,185, 43,036.26 and 17,038.77

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Solution

The fourth proportional to 31,185, 43,036.26 and 17,038.77 is: 23,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,185 : 43,036.26 = 17,038.77 : x
  2. Step 2: Convert to fraction form
    31,185/43,036.26 = 17,038.77/x
  3. Step 3: Cross multiply
    31,185x = 43,036.26 × 17,038.77
  4. Step 4: Simplify right side
    31,185x = 733,284,935.80
  5. Step 5: Solve for x
    x = 733,284,935.80/31,185
  6. Step 6: Final answer
    x = 23,514.03

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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.