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Finding the Fourth Proportional to 73,544.48, 110,298.72 and 34,064

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Solution

The fourth proportional to 73,544.48, 110,298.72 and 34,064 is: 51,087.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,544.48 : 110,298.72 = 34,064 : x
  2. Step 2: Convert to fraction form
    73,544.48/110,298.72 = 34,064/x
  3. Step 3: Cross multiply
    73,544.48x = 110,298.72 × 34,064
  4. Step 4: Simplify right side
    73,544.48x = 3,757,215,598.08
  5. Step 5: Solve for x
    x = 3,757,215,598.08/73,544.48
  6. Step 6: Final answer
    x = 51,087.66

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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.