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Finding the Fourth Proportional to 33,106.50, 45,686.97 and 18,202.50

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Solution

The fourth proportional to 33,106.50, 45,686.97 and 18,202.50 is: 25,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106.50 : 45,686.97 = 18,202.50 : x
  2. Step 2: Convert to fraction form
    33,106.50/45,686.97 = 18,202.50/x
  3. Step 3: Cross multiply
    33,106.50x = 45,686.97 × 18,202.50
  4. Step 4: Simplify right side
    33,106.50x = 831,617,071.43
  5. Step 5: Solve for x
    x = 831,617,071.43/33,106.50
  6. Step 6: Final answer
    x = 25,119.45

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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.