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Finding the Fourth Proportional to 30,764.91, 46,166.81 and 17,642.91

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Solution

The fourth proportional to 30,764.91, 46,166.81 and 17,642.91 is: 26,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.91 : 46,166.81 = 17,642.91 : x
  2. Step 2: Convert to fraction form
    30,764.91/46,166.81 = 17,642.91/x
  3. Step 3: Cross multiply
    30,764.91x = 46,166.81 × 17,642.91
  4. Step 4: Simplify right side
    30,764.91x = 814,517,057.97
  5. Step 5: Solve for x
    x = 814,517,057.97/30,764.91
  6. Step 6: Final answer
    x = 26,475.52

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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.