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Finding the Fourth Proportional to 30,643.25, 45,932.20 and 17,467.25

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Solution

The fourth proportional to 30,643.25, 45,932.20 and 17,467.25 is: 26,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.25 : 45,932.20 = 17,467.25 : x
  2. Step 2: Convert to fraction form
    30,643.25/45,932.20 = 17,467.25/x
  3. Step 3: Cross multiply
    30,643.25x = 45,932.20 × 17,467.25
  4. Step 4: Simplify right side
    30,643.25x = 802,308,947.12
  5. Step 5: Solve for x
    x = 802,308,947.12/30,643.25
  6. Step 6: Final answer
    x = 26,182.24

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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.