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Finding the Fourth Proportional to 32,894.49, 49,344.86 and 9,202.04

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Solution

The fourth proportional to 32,894.49, 49,344.86 and 9,202.04 is: 13,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,894.49 : 49,344.86 = 9,202.04 : x
  2. Step 2: Convert to fraction form
    32,894.49/49,344.86 = 9,202.04/x
  3. Step 3: Cross multiply
    32,894.49x = 49,344.86 × 9,202.04
  4. Step 4: Simplify right side
    32,894.49x = 454,073,285.08
  5. Step 5: Solve for x
    x = 454,073,285.08/32,894.49
  6. Step 6: Final answer
    x = 13,803.93

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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.