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Finding the Fourth Proportional to 30,273, 45,409.98 and 8,385

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Solution

The fourth proportional to 30,273, 45,409.98 and 8,385 is: 12,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,273 : 45,409.98 = 8,385 : x
  2. Step 2: Convert to fraction form
    30,273/45,409.98 = 8,385/x
  3. Step 3: Cross multiply
    30,273x = 45,409.98 × 8,385
  4. Step 4: Simplify right side
    30,273x = 380,762,682.30
  5. Step 5: Solve for x
    x = 380,762,682.30/30,273
  6. Step 6: Final answer
    x = 12,577.63

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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.