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Finding the Fourth Proportional to 31,368.96, 43,290.04 and 17,222.40

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Solution

The fourth proportional to 31,368.96, 43,290.04 and 17,222.40 is: 23,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,368.96 : 43,290.04 = 17,222.40 : x
  2. Step 2: Convert to fraction form
    31,368.96/43,290.04 = 17,222.40/x
  3. Step 3: Cross multiply
    31,368.96x = 43,290.04 × 17,222.40
  4. Step 4: Simplify right side
    31,368.96x = 745,558,384.90
  5. Step 5: Solve for x
    x = 745,558,384.90/31,368.96
  6. Step 6: Final answer
    x = 23,767.39

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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.