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Finding the Fourth Proportional to 47,857.40, 71,801.40 and 14,583.80

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Solution

The fourth proportional to 47,857.40, 71,801.40 and 14,583.80 is: 21,880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,857.40 : 71,801.40 = 14,583.80 : x
  2. Step 2: Convert to fraction form
    47,857.40/71,801.40 = 14,583.80/x
  3. Step 3: Cross multiply
    47,857.40x = 71,801.40 × 14,583.80
  4. Step 4: Simplify right side
    47,857.40x = 1,047,137,257.32
  5. Step 5: Solve for x
    x = 1,047,137,257.32/47,857.40
  6. Step 6: Final answer
    x = 21,880.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.