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Finding the Fourth Proportional to 30,900.90, 46,348.14 and 20,969.40

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Solution

The fourth proportional to 30,900.90, 46,348.14 and 20,969.40 is: 31,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.90 : 46,348.14 = 20,969.40 : x
  2. Step 2: Convert to fraction form
    30,900.90/46,348.14 = 20,969.40/x
  3. Step 3: Cross multiply
    30,900.90x = 46,348.14 × 20,969.40
  4. Step 4: Simplify right side
    30,900.90x = 971,892,686.92
  5. Step 5: Solve for x
    x = 971,892,686.92/30,900.90
  6. Step 6: Final answer
    x = 31,451.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.