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Finding the Fourth Proportional to 74,714.36, 102,964.02 and 53,456.60

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Solution

The fourth proportional to 74,714.36, 102,964.02 and 53,456.60 is: 73,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,714.36 : 102,964.02 = 53,456.60 : x
  2. Step 2: Convert to fraction form
    74,714.36/102,964.02 = 53,456.60/x
  3. Step 3: Cross multiply
    74,714.36x = 102,964.02 × 53,456.60
  4. Step 4: Simplify right side
    74,714.36x = 5,504,106,431.53
  5. Step 5: Solve for x
    x = 5,504,106,431.53/74,714.36
  6. Step 6: Final answer
    x = 73,668.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.