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Finding the Fourth Proportional to 30,878.49, 46,336.77 and 14,240.82

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Solution

The fourth proportional to 30,878.49, 46,336.77 and 14,240.82 is: 21,370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.49 : 46,336.77 = 14,240.82 : x
  2. Step 2: Convert to fraction form
    30,878.49/46,336.77 = 14,240.82/x
  3. Step 3: Cross multiply
    30,878.49x = 46,336.77 × 14,240.82
  4. Step 4: Simplify right side
    30,878.49x = 659,873,600.95
  5. Step 5: Solve for x
    x = 659,873,600.95/30,878.49
  6. Step 6: Final answer
    x = 21,370.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.