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Finding the Fourth Proportional to 37,658, 51,968.04 and 20,891.12

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Solution

The fourth proportional to 37,658, 51,968.04 and 20,891.12 is: 28,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658 : 51,968.04 = 20,891.12 : x
  2. Step 2: Convert to fraction form
    37,658/51,968.04 = 20,891.12/x
  3. Step 3: Cross multiply
    37,658x = 51,968.04 × 20,891.12
  4. Step 4: Simplify right side
    37,658x = 1,085,670,559.80
  5. Step 5: Solve for x
    x = 1,085,670,559.80/37,658
  6. Step 6: Final answer
    x = 28,829.75

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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.