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Finding the Fourth Proportional to 31,191.42, 46,806.12 and 16,410.90

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Solution

The fourth proportional to 31,191.42, 46,806.12 and 16,410.90 is: 24,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191.42 : 46,806.12 = 16,410.90 : x
  2. Step 2: Convert to fraction form
    31,191.42/46,806.12 = 16,410.90/x
  3. Step 3: Cross multiply
    31,191.42x = 46,806.12 × 16,410.90
  4. Step 4: Simplify right side
    31,191.42x = 768,130,554.71
  5. Step 5: Solve for x
    x = 768,130,554.71/31,191.42
  6. Step 6: Final answer
    x = 24,626.34

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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.