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Finding the Fourth Proportional to 30,882.84, 46,262.16 and 14,219.64

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Solution

The fourth proportional to 30,882.84, 46,262.16 and 14,219.64 is: 21,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.84 : 46,262.16 = 14,219.64 : x
  2. Step 2: Convert to fraction form
    30,882.84/46,262.16 = 14,219.64/x
  3. Step 3: Cross multiply
    30,882.84x = 46,262.16 × 14,219.64
  4. Step 4: Simplify right side
    30,882.84x = 657,831,260.82
  5. Step 5: Solve for x
    x = 657,831,260.82/30,882.84
  6. Step 6: Final answer
    x = 21,300.87

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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.