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Finding the Fourth Proportional to 30,899.40, 46,345.89 and 20,967.90

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Solution

The fourth proportional to 30,899.40, 46,345.89 and 20,967.90 is: 31,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,899.40 : 46,345.89 = 20,967.90 : x
  2. Step 2: Convert to fraction form
    30,899.40/46,345.89 = 20,967.90/x
  3. Step 3: Cross multiply
    30,899.40x = 46,345.89 × 20,967.90
  4. Step 4: Simplify right side
    30,899.40x = 971,775,986.93
  5. Step 5: Solve for x
    x = 971,775,986.93/30,899.40
  6. Step 6: Final answer
    x = 31,449.67

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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.