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Finding the Fourth Proportional to 30,836.40, 46,180.02 and 17,648.82

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Solution

The fourth proportional to 30,836.40, 46,180.02 and 17,648.82 is: 26,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,836.40 : 46,180.02 = 17,648.82 : x
  2. Step 2: Convert to fraction form
    30,836.40/46,180.02 = 17,648.82/x
  3. Step 3: Cross multiply
    30,836.40x = 46,180.02 × 17,648.82
  4. Step 4: Simplify right side
    30,836.40x = 815,022,860.58
  5. Step 5: Solve for x
    x = 815,022,860.58/30,836.40
  6. Step 6: Final answer
    x = 26,430.55

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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.