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Finding the Fourth Proportional to 30,844.90, 46,239 and 11,118.64

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Solution

The fourth proportional to 30,844.90, 46,239 and 11,118.64 is: 16,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844.90 : 46,239 = 11,118.64 : x
  2. Step 2: Convert to fraction form
    30,844.90/46,239 = 11,118.64/x
  3. Step 3: Cross multiply
    30,844.90x = 46,239 × 11,118.64
  4. Step 4: Simplify right side
    30,844.90x = 514,114,794.96
  5. Step 5: Solve for x
    x = 514,114,794.96/30,844.90
  6. Step 6: Final answer
    x = 16,667.74

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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.