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Finding the Fourth Proportional to 30,019.74, 41,424.39 and 17,442.06

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Solution

The fourth proportional to 30,019.74, 41,424.39 and 17,442.06 is: 24,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,019.74 : 41,424.39 = 17,442.06 : x
  2. Step 2: Convert to fraction form
    30,019.74/41,424.39 = 17,442.06/x
  3. Step 3: Cross multiply
    30,019.74x = 41,424.39 × 17,442.06
  4. Step 4: Simplify right side
    30,019.74x = 722,526,695.84
  5. Step 5: Solve for x
    x = 722,526,695.84/30,019.74
  6. Step 6: Final answer
    x = 24,068.39

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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.