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Finding the Fourth Proportional to 30,580.92, 45,871.14 and 8,394.21

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Solution

The fourth proportional to 30,580.92, 45,871.14 and 8,394.21 is: 12,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580.92 : 45,871.14 = 8,394.21 : x
  2. Step 2: Convert to fraction form
    30,580.92/45,871.14 = 8,394.21/x
  3. Step 3: Cross multiply
    30,580.92x = 45,871.14 × 8,394.21
  4. Step 4: Simplify right side
    30,580.92x = 385,051,982.10
  5. Step 5: Solve for x
    x = 385,051,982.10/30,580.92
  6. Step 6: Final answer
    x = 12,591.25

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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.