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Finding the Fourth Proportional to 30,858.48, 46,284.10 and 8,673.74

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Solution

The fourth proportional to 30,858.48, 46,284.10 and 8,673.74 is: 13,009.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858.48 : 46,284.10 = 8,673.74 : x
  2. Step 2: Convert to fraction form
    30,858.48/46,284.10 = 8,673.74/x
  3. Step 3: Cross multiply
    30,858.48x = 46,284.10 × 8,673.74
  4. Step 4: Simplify right side
    30,858.48x = 401,456,249.53
  5. Step 5: Solve for x
    x = 401,456,249.53/30,858.48
  6. Step 6: Final answer
    x = 13,009.59

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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.