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Finding the Fourth Proportional to 76,089, 114,185.34 and 26,841

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Solution

The fourth proportional to 76,089, 114,185.34 and 26,841 is: 40,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,089 : 114,185.34 = 26,841 : x
  2. Step 2: Convert to fraction form
    76,089/114,185.34 = 26,841/x
  3. Step 3: Cross multiply
    76,089x = 114,185.34 × 26,841
  4. Step 4: Simplify right side
    76,089x = 3,064,848,710.94
  5. Step 5: Solve for x
    x = 3,064,848,710.94/76,089
  6. Step 6: Final answer
    x = 40,279.79

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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.