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Finding the Fourth Proportional to 30,878.37, 46,317.20 and 7,504.83

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Solution

The fourth proportional to 30,878.37, 46,317.20 and 7,504.83 is: 11,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.37 : 46,317.20 = 7,504.83 : x
  2. Step 2: Convert to fraction form
    30,878.37/46,317.20 = 7,504.83/x
  3. Step 3: Cross multiply
    30,878.37x = 46,317.20 × 7,504.83
  4. Step 4: Simplify right side
    30,878.37x = 347,602,674.55
  5. Step 5: Solve for x
    x = 347,602,674.55/30,878.37
  6. Step 6: Final answer
    x = 11,257.16

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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.