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Finding the Fourth Proportional to 30,913.44, 46,342.68 and 11,187.64

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Solution

The fourth proportional to 30,913.44, 46,342.68 and 11,187.64 is: 16,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913.44 : 46,342.68 = 11,187.64 : x
  2. Step 2: Convert to fraction form
    30,913.44/46,342.68 = 11,187.64/x
  3. Step 3: Cross multiply
    30,913.44x = 46,342.68 × 11,187.64
  4. Step 4: Simplify right side
    30,913.44x = 518,465,220.48
  5. Step 5: Solve for x
    x = 518,465,220.48/30,913.44
  6. Step 6: Final answer
    x = 16,771.51

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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.