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Finding the Fourth Proportional to 36,097.42, 49,813 and 19,963.67

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Solution

The fourth proportional to 36,097.42, 49,813 and 19,963.67 is: 27,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097.42 : 49,813 = 19,963.67 : x
  2. Step 2: Convert to fraction form
    36,097.42/49,813 = 19,963.67/x
  3. Step 3: Cross multiply
    36,097.42x = 49,813 × 19,963.67
  4. Step 4: Simplify right side
    36,097.42x = 994,450,293.71
  5. Step 5: Solve for x
    x = 994,450,293.71/36,097.42
  6. Step 6: Final answer
    x = 27,549.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.