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Finding the Fourth Proportional to 30,682.94, 45,991.27 and 14,854.53

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Solution

The fourth proportional to 30,682.94, 45,991.27 and 14,854.53 is: 22,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.94 : 45,991.27 = 14,854.53 : x
  2. Step 2: Convert to fraction form
    30,682.94/45,991.27 = 14,854.53/x
  3. Step 3: Cross multiply
    30,682.94x = 45,991.27 × 14,854.53
  4. Step 4: Simplify right side
    30,682.94x = 683,178,625.68
  5. Step 5: Solve for x
    x = 683,178,625.68/30,682.94
  6. Step 6: Final answer
    x = 22,265.75

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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.