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Finding the Fourth Proportional to 30,741.86, 42,424.62 and 18,804.98

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Solution

The fourth proportional to 30,741.86, 42,424.62 and 18,804.98 is: 25,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.86 : 42,424.62 = 18,804.98 : x
  2. Step 2: Convert to fraction form
    30,741.86/42,424.62 = 18,804.98/x
  3. Step 3: Cross multiply
    30,741.86x = 42,424.62 × 18,804.98
  4. Step 4: Simplify right side
    30,741.86x = 797,794,130.61
  5. Step 5: Solve for x
    x = 797,794,130.61/30,741.86
  6. Step 6: Final answer
    x = 25,951.39

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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.