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Finding the Fourth Proportional to 116,714.05, 175,094.01 and 41,814.01

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Solution

The fourth proportional to 116,714.05, 175,094.01 and 41,814.01 is: 62,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,714.05 : 175,094.01 = 41,814.01 : x
  2. Step 2: Convert to fraction form
    116,714.05/175,094.01 = 41,814.01/x
  3. Step 3: Cross multiply
    116,714.05x = 175,094.01 × 41,814.01
  4. Step 4: Simplify right side
    116,714.05x = 7,321,382,685.08
  5. Step 5: Solve for x
    x = 7,321,382,685.08/116,714.05
  6. Step 6: Final answer
    x = 62,729.23

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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.