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Finding the Fourth Proportional to 30,762.42, 46,147.49 and 12,040.04

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Solution

The fourth proportional to 30,762.42, 46,147.49 and 12,040.04 is: 18,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.42 : 46,147.49 = 12,040.04 : x
  2. Step 2: Convert to fraction form
    30,762.42/46,147.49 = 12,040.04/x
  3. Step 3: Cross multiply
    30,762.42x = 46,147.49 × 12,040.04
  4. Step 4: Simplify right side
    30,762.42x = 555,617,334.56
  5. Step 5: Solve for x
    x = 555,617,334.56/30,762.42
  6. Step 6: Final answer
    x = 18,061.56

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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.