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Finding the Fourth Proportional to 31,382.04, 43,307.04 and 17,042.16

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Solution

The fourth proportional to 31,382.04, 43,307.04 and 17,042.16 is: 23,518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.04 : 43,307.04 = 17,042.16 : x
  2. Step 2: Convert to fraction form
    31,382.04/43,307.04 = 17,042.16/x
  3. Step 3: Cross multiply
    31,382.04x = 43,307.04 × 17,042.16
  4. Step 4: Simplify right side
    31,382.04x = 738,045,504.81
  5. Step 5: Solve for x
    x = 738,045,504.81/31,382.04
  6. Step 6: Final answer
    x = 23,518.09

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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.