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Finding the Fourth Proportional to 31,504.66, 43,476.40 and 17,357.50

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Solution

The fourth proportional to 31,504.66, 43,476.40 and 17,357.50 is: 23,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,504.66 : 43,476.40 = 17,357.50 : x
  2. Step 2: Convert to fraction form
    31,504.66/43,476.40 = 17,357.50/x
  3. Step 3: Cross multiply
    31,504.66x = 43,476.40 × 17,357.50
  4. Step 4: Simplify right side
    31,504.66x = 754,641,689.04
  5. Step 5: Solve for x
    x = 754,641,689.04/31,504.66
  6. Step 6: Final answer
    x = 23,953.34

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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.