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Finding the Fourth Proportional to 30,513.94, 45,763.53 and 8,327.43

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Solution

The fourth proportional to 30,513.94, 45,763.53 and 8,327.43 is: 12,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,513.94 : 45,763.53 = 8,327.43 : x
  2. Step 2: Convert to fraction form
    30,513.94/45,763.53 = 8,327.43/x
  3. Step 3: Cross multiply
    30,513.94x = 45,763.53 × 8,327.43
  4. Step 4: Simplify right side
    30,513.94x = 381,092,592.63
  5. Step 5: Solve for x
    x = 381,092,592.63/30,513.94
  6. Step 6: Final answer
    x = 12,489.13

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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.