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Finding the Fourth Proportional to 33,409.40, 50,114.10 and 13,681.40

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Solution

The fourth proportional to 33,409.40, 50,114.10 and 13,681.40 is: 20,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,409.40 : 50,114.10 = 13,681.40 : x
  2. Step 2: Convert to fraction form
    33,409.40/50,114.10 = 13,681.40/x
  3. Step 3: Cross multiply
    33,409.40x = 50,114.10 × 13,681.40
  4. Step 4: Simplify right side
    33,409.40x = 685,631,047.74
  5. Step 5: Solve for x
    x = 685,631,047.74/33,409.40
  6. Step 6: Final answer
    x = 20,522.10

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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.