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Finding the Fourth Proportional to 30,143.84, 45,219.39 and 14,550.50

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Solution

The fourth proportional to 30,143.84, 45,219.39 and 14,550.50 is: 21,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,143.84 : 45,219.39 = 14,550.50 : x
  2. Step 2: Convert to fraction form
    30,143.84/45,219.39 = 14,550.50/x
  3. Step 3: Cross multiply
    30,143.84x = 45,219.39 × 14,550.50
  4. Step 4: Simplify right side
    30,143.84x = 657,964,734.20
  5. Step 5: Solve for x
    x = 657,964,734.20/30,143.84
  6. Step 6: Final answer
    x = 21,827.50

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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.