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Finding the Fourth Proportional to 37,041, 51,106.48 and 21,119.64

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Solution

The fourth proportional to 37,041, 51,106.48 and 21,119.64 is: 29,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,041 : 51,106.48 = 21,119.64 : x
  2. Step 2: Convert to fraction form
    37,041/51,106.48 = 21,119.64/x
  3. Step 3: Cross multiply
    37,041x = 51,106.48 × 21,119.64
  4. Step 4: Simplify right side
    37,041x = 1,079,350,459.27
  5. Step 5: Solve for x
    x = 1,079,350,459.27/37,041
  6. Step 6: Final answer
    x = 29,139.34

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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.