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Finding the Fourth Proportional to 37,281, 51,448.14 and 20,514.36

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Solution

The fourth proportional to 37,281, 51,448.14 and 20,514.36 is: 28,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,281 : 51,448.14 = 20,514.36 : x
  2. Step 2: Convert to fraction form
    37,281/51,448.14 = 20,514.36/x
  3. Step 3: Cross multiply
    37,281x = 51,448.14 × 20,514.36
  4. Step 4: Simplify right side
    37,281x = 1,055,425,665.29
  5. Step 5: Solve for x
    x = 1,055,425,665.29/37,281
  6. Step 6: Final answer
    x = 28,310.01

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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.