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Finding the Fourth Proportional to 36,989.50, 51,045.69 and 20,222.50

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Solution

The fourth proportional to 36,989.50, 51,045.69 and 20,222.50 is: 27,907.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,989.50 : 51,045.69 = 20,222.50 : x
  2. Step 2: Convert to fraction form
    36,989.50/51,045.69 = 20,222.50/x
  3. Step 3: Cross multiply
    36,989.50x = 51,045.69 × 20,222.50
  4. Step 4: Simplify right side
    36,989.50x = 1,032,271,466.03
  5. Step 5: Solve for x
    x = 1,032,271,466.03/36,989.50
  6. Step 6: Final answer
    x = 27,907.15

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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.