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Finding the Fourth Proportional to 36,699.20, 51,448 and 36,699.20

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Solution

The fourth proportional to 36,699.20, 51,448 and 36,699.20 is: 51,448

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,699.20 : 51,448 = 36,699.20 : x
  2. Step 2: Convert to fraction form
    36,699.20/51,448 = 36,699.20/x
  3. Step 3: Cross multiply
    36,699.20x = 51,448 × 36,699.20
  4. Step 4: Simplify right side
    36,699.20x = 1,888,100,441.60
  5. Step 5: Solve for x
    x = 1,888,100,441.60/36,699.20
  6. Step 6: Final answer
    x = 51,448

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.