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Finding the Fourth Proportional to 30,703.60, 46,074.78 and 17,581.60

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Solution

The fourth proportional to 30,703.60, 46,074.78 and 17,581.60 is: 26,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703.60 : 46,074.78 = 17,581.60 : x
  2. Step 2: Convert to fraction form
    30,703.60/46,074.78 = 17,581.60/x
  3. Step 3: Cross multiply
    30,703.60x = 46,074.78 × 17,581.60
  4. Step 4: Simplify right side
    30,703.60x = 810,068,352.05
  5. Step 5: Solve for x
    x = 810,068,352.05/30,703.60
  6. Step 6: Final answer
    x = 26,383.50

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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.