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Finding the Fourth Proportional to 30,448.65, 42,019.39 and 17,020.47

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Solution

The fourth proportional to 30,448.65, 42,019.39 and 17,020.47 is: 23,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,448.65 : 42,019.39 = 17,020.47 : x
  2. Step 2: Convert to fraction form
    30,448.65/42,019.39 = 17,020.47/x
  3. Step 3: Cross multiply
    30,448.65x = 42,019.39 × 17,020.47
  4. Step 4: Simplify right side
    30,448.65x = 715,189,766.91
  5. Step 5: Solve for x
    x = 715,189,766.91/30,448.65
  6. Step 6: Final answer
    x = 23,488.39

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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.