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Finding the Fourth Proportional to 76,593.16, 114,889.78 and 35,011

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Solution

The fourth proportional to 76,593.16, 114,889.78 and 35,011 is: 52,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,593.16 : 114,889.78 = 35,011 : x
  2. Step 2: Convert to fraction form
    76,593.16/114,889.78 = 35,011/x
  3. Step 3: Cross multiply
    76,593.16x = 114,889.78 × 35,011
  4. Step 4: Simplify right side
    76,593.16x = 4,022,406,087.58
  5. Step 5: Solve for x
    x = 4,022,406,087.58/76,593.16
  6. Step 6: Final answer
    x = 52,516.52

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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.