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Finding the Fourth Proportional to 47,774.75, 71,662.29 and 14,495.09

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Solution

The fourth proportional to 47,774.75, 71,662.29 and 14,495.09 is: 21,742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,774.75 : 71,662.29 = 14,495.09 : x
  2. Step 2: Convert to fraction form
    47,774.75/71,662.29 = 14,495.09/x
  3. Step 3: Cross multiply
    47,774.75x = 71,662.29 × 14,495.09
  4. Step 4: Simplify right side
    47,774.75x = 1,038,751,343.16
  5. Step 5: Solve for x
    x = 1,038,751,343.16/47,774.75
  6. Step 6: Final answer
    x = 21,742.69

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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.