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Finding the Fourth Proportional to 38,706, 53,414.90 and 21,714.03

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Solution

The fourth proportional to 38,706, 53,414.90 and 21,714.03 is: 29,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706 : 53,414.90 = 21,714.03 : x
  2. Step 2: Convert to fraction form
    38,706/53,414.90 = 21,714.03/x
  3. Step 3: Cross multiply
    38,706x = 53,414.90 × 21,714.03
  4. Step 4: Simplify right side
    38,706x = 1,159,852,741.05
  5. Step 5: Solve for x
    x = 1,159,852,741.05/38,706
  6. Step 6: Final answer
    x = 29,965.71

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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.