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Finding the Fourth Proportional to 30,878.52, 46,317.66 and 7,504.94

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Solution

The fourth proportional to 30,878.52, 46,317.66 and 7,504.94 is: 11,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.52 : 46,317.66 = 7,504.94 : x
  2. Step 2: Convert to fraction form
    30,878.52/46,317.66 = 7,504.94/x
  3. Step 3: Cross multiply
    30,878.52x = 46,317.66 × 7,504.94
  4. Step 4: Simplify right side
    30,878.52x = 347,611,259.24
  5. Step 5: Solve for x
    x = 347,611,259.24/30,878.52
  6. Step 6: Final answer
    x = 11,257.38

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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.