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Finding the Fourth Proportional to 31,202.40, 46,798.20 and 11,470.80

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Solution

The fourth proportional to 31,202.40, 46,798.20 and 11,470.80 is: 17,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.40 : 46,798.20 = 11,470.80 : x
  2. Step 2: Convert to fraction form
    31,202.40/46,798.20 = 11,470.80/x
  3. Step 3: Cross multiply
    31,202.40x = 46,798.20 × 11,470.80
  4. Step 4: Simplify right side
    31,202.40x = 536,812,792.56
  5. Step 5: Solve for x
    x = 536,812,792.56/31,202.40
  6. Step 6: Final answer
    x = 17,204.21

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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.