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Finding the Fourth Proportional to 30,513.96, 45,770.95 and 14,716.05

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Solution

The fourth proportional to 30,513.96, 45,770.95 and 14,716.05 is: 22,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,513.96 : 45,770.95 = 14,716.05 : x
  2. Step 2: Convert to fraction form
    30,513.96/45,770.95 = 14,716.05/x
  3. Step 3: Cross multiply
    30,513.96x = 45,770.95 × 14,716.05
  4. Step 4: Simplify right side
    30,513.96x = 673,567,435.50
  5. Step 5: Solve for x
    x = 673,567,435.50/30,513.96
  6. Step 6: Final answer
    x = 22,074.07

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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.