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Finding the Fourth Proportional to 47,883.25, 71,824.88 and 15,051.25

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Solution

The fourth proportional to 47,883.25, 71,824.88 and 15,051.25 is: 22,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,883.25 : 71,824.88 = 15,051.25 : x
  2. Step 2: Convert to fraction form
    47,883.25/71,824.88 = 15,051.25/x
  3. Step 3: Cross multiply
    47,883.25x = 71,824.88 × 15,051.25
  4. Step 4: Simplify right side
    47,883.25x = 1,081,054,225.10
  5. Step 5: Solve for x
    x = 1,081,054,225.10/47,883.25
  6. Step 6: Final answer
    x = 22,576.88

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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.