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Finding the Fourth Proportional to 30,674.55, 46,012.41 and 9,614.13

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Solution

The fourth proportional to 30,674.55, 46,012.41 and 9,614.13 is: 14,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.55 : 46,012.41 = 9,614.13 : x
  2. Step 2: Convert to fraction form
    30,674.55/46,012.41 = 9,614.13/x
  3. Step 3: Cross multiply
    30,674.55x = 46,012.41 × 9,614.13
  4. Step 4: Simplify right side
    30,674.55x = 442,369,291.35
  5. Step 5: Solve for x
    x = 442,369,291.35/30,674.55
  6. Step 6: Final answer
    x = 14,421.38

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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.