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Finding the Fourth Proportional to 30,676.95, 45,993.84 and 11,941.17

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Solution

The fourth proportional to 30,676.95, 45,993.84 and 11,941.17 is: 17,903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.95 : 45,993.84 = 11,941.17 : x
  2. Step 2: Convert to fraction form
    30,676.95/45,993.84 = 11,941.17/x
  3. Step 3: Cross multiply
    30,676.95x = 45,993.84 × 11,941.17
  4. Step 4: Simplify right side
    30,676.95x = 549,220,262.39
  5. Step 5: Solve for x
    x = 549,220,262.39/30,676.95
  6. Step 6: Final answer
    x = 17,903.35

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1.5x scale

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.