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Finding the Fourth Proportional to 73,114.96, 109,731.84 and 38,064.64

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Solution

The fourth proportional to 73,114.96, 109,731.84 and 38,064.64 is: 57,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,114.96 : 109,731.84 = 38,064.64 : x
  2. Step 2: Convert to fraction form
    73,114.96/109,731.84 = 38,064.64/x
  3. Step 3: Cross multiply
    73,114.96x = 109,731.84 × 38,064.64
  4. Step 4: Simplify right side
    73,114.96x = 4,176,902,986.14
  5. Step 5: Solve for x
    x = 4,176,902,986.14/73,114.96
  6. Step 6: Final answer
    x = 57,127.88

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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.