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Finding the Fourth Proportional to 33,096.40, 49,639.80 and 9,720.40

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Solution

The fourth proportional to 33,096.40, 49,639.80 and 9,720.40 is: 14,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,096.40 : 49,639.80 = 9,720.40 : x
  2. Step 2: Convert to fraction form
    33,096.40/49,639.80 = 9,720.40/x
  3. Step 3: Cross multiply
    33,096.40x = 49,639.80 × 9,720.40
  4. Step 4: Simplify right side
    33,096.40x = 482,518,711.92
  5. Step 5: Solve for x
    x = 482,518,711.92/33,096.40
  6. Step 6: Final answer
    x = 14,579.19

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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.