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Finding the Fourth Proportional to 30,688.84, 46,039.20 and 11,968.12

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Solution

The fourth proportional to 30,688.84, 46,039.20 and 11,968.12 is: 17,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,688.84 : 46,039.20 = 11,968.12 : x
  2. Step 2: Convert to fraction form
    30,688.84/46,039.20 = 11,968.12/x
  3. Step 3: Cross multiply
    30,688.84x = 46,039.20 × 11,968.12
  4. Step 4: Simplify right side
    30,688.84x = 551,002,670.30
  5. Step 5: Solve for x
    x = 551,002,670.30/30,688.84
  6. Step 6: Final answer
    x = 17,954.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.