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Finding the Fourth Proportional to 31,202.40, 46,706.40 and 30,230.40

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Solution

The fourth proportional to 31,202.40, 46,706.40 and 30,230.40 is: 45,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.40 : 46,706.40 = 30,230.40 : x
  2. Step 2: Convert to fraction form
    31,202.40/46,706.40 = 30,230.40/x
  3. Step 3: Cross multiply
    31,202.40x = 46,706.40 × 30,230.40
  4. Step 4: Simplify right side
    31,202.40x = 1,411,953,154.56
  5. Step 5: Solve for x
    x = 1,411,953,154.56/31,202.40
  6. Step 6: Final answer
    x = 45,251.43

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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.