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Finding the Fourth Proportional to 30,356.40, 45,523.80 and 13,724.40

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Solution

The fourth proportional to 30,356.40, 45,523.80 and 13,724.40 is: 20,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,356.40 : 45,523.80 = 13,724.40 : x
  2. Step 2: Convert to fraction form
    30,356.40/45,523.80 = 13,724.40/x
  3. Step 3: Cross multiply
    30,356.40x = 45,523.80 × 13,724.40
  4. Step 4: Simplify right side
    30,356.40x = 624,786,840.72
  5. Step 5: Solve for x
    x = 624,786,840.72/30,356.40
  6. Step 6: Final answer
    x = 20,581.72

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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.