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Finding the Fourth Proportional to 47,813.40, 71,728.20 and 14,533.20

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Solution

The fourth proportional to 47,813.40, 71,728.20 and 14,533.20 is: 21,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,813.40 : 71,728.20 = 14,533.20 : x
  2. Step 2: Convert to fraction form
    47,813.40/71,728.20 = 14,533.20/x
  3. Step 3: Cross multiply
    47,813.40x = 71,728.20 × 14,533.20
  4. Step 4: Simplify right side
    47,813.40x = 1,042,440,276.24
  5. Step 5: Solve for x
    x = 1,042,440,276.24/47,813.40
  6. Step 6: Final answer
    x = 21,802.26

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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.