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Finding the Fourth Proportional to 76,129.49, 114,201.91 and 26,203.03

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Solution

The fourth proportional to 76,129.49, 114,201.91 and 26,203.03 is: 39,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,129.49 : 114,201.91 = 26,203.03 : x
  2. Step 2: Convert to fraction form
    76,129.49/114,201.91 = 26,203.03/x
  3. Step 3: Cross multiply
    76,129.49x = 114,201.91 × 26,203.03
  4. Step 4: Simplify right side
    76,129.49x = 2,992,436,073.79
  5. Step 5: Solve for x
    x = 2,992,436,073.79/76,129.49
  6. Step 6: Final answer
    x = 39,307.19

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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.