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Finding the Fourth Proportional to 46,489.20, 69,678.45 and 21,494.22

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Solution

The fourth proportional to 46,489.20, 69,678.45 and 21,494.22 is: 32,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,489.20 : 69,678.45 = 21,494.22 : x
  2. Step 2: Convert to fraction form
    46,489.20/69,678.45 = 21,494.22/x
  3. Step 3: Cross multiply
    46,489.20x = 69,678.45 × 21,494.22
  4. Step 4: Simplify right side
    46,489.20x = 1,497,683,933.56
  5. Step 5: Solve for x
    x = 1,497,683,933.56/46,489.20
  6. Step 6: Final answer
    x = 32,215.74

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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.