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Finding the Fourth Proportional to 54,698.80, 82,023.90 and 21,407.80

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Solution

The fourth proportional to 54,698.80, 82,023.90 and 21,407.80 is: 32,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,698.80 : 82,023.90 = 21,407.80 : x
  2. Step 2: Convert to fraction form
    54,698.80/82,023.90 = 21,407.80/x
  3. Step 3: Cross multiply
    54,698.80x = 82,023.90 × 21,407.80
  4. Step 4: Simplify right side
    54,698.80x = 1,755,951,246.42
  5. Step 5: Solve for x
    x = 1,755,951,246.42/54,698.80
  6. Step 6: Final answer
    x = 32,102.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.