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Finding the Fourth Proportional to 30,700.38, 46,061.46 and 17,563.80

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Solution

The fourth proportional to 30,700.38, 46,061.46 and 17,563.80 is: 26,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.38 : 46,061.46 = 17,563.80 : x
  2. Step 2: Convert to fraction form
    30,700.38/46,061.46 = 17,563.80/x
  3. Step 3: Cross multiply
    30,700.38x = 46,061.46 × 17,563.80
  4. Step 4: Simplify right side
    30,700.38x = 809,014,271.15
  5. Step 5: Solve for x
    x = 809,014,271.15/30,700.38
  6. Step 6: Final answer
    x = 26,351.93

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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.