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Finding the Fourth Proportional to 30,696.24, 42,360.58 and 17,448.24

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Solution

The fourth proportional to 30,696.24, 42,360.58 and 17,448.24 is: 24,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,696.24 : 42,360.58 = 17,448.24 : x
  2. Step 2: Convert to fraction form
    30,696.24/42,360.58 = 17,448.24/x
  3. Step 3: Cross multiply
    30,696.24x = 42,360.58 × 17,448.24
  4. Step 4: Simplify right side
    30,696.24x = 739,117,566.38
  5. Step 5: Solve for x
    x = 739,117,566.38/30,696.24
  6. Step 6: Final answer
    x = 24,078.44

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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.