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Finding the Fourth Proportional to 30,166.08, 45,241.80 and 12,649

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Solution

The fourth proportional to 30,166.08, 45,241.80 and 12,649 is: 18,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,166.08 : 45,241.80 = 12,649 : x
  2. Step 2: Convert to fraction form
    30,166.08/45,241.80 = 12,649/x
  3. Step 3: Cross multiply
    30,166.08x = 45,241.80 × 12,649
  4. Step 4: Simplify right side
    30,166.08x = 572,263,528.20
  5. Step 5: Solve for x
    x = 572,263,528.20/30,166.08
  6. Step 6: Final answer
    x = 18,970.43

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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.