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Finding the Fourth Proportional to 76,263.67, 114,390.48 and 26,344.48

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Solution

The fourth proportional to 76,263.67, 114,390.48 and 26,344.48 is: 39,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,263.67 : 114,390.48 = 26,344.48 : x
  2. Step 2: Convert to fraction form
    76,263.67/114,390.48 = 26,344.48/x
  3. Step 3: Cross multiply
    76,263.67x = 114,390.48 × 26,344.48
  4. Step 4: Simplify right side
    76,263.67x = 3,013,557,712.55
  5. Step 5: Solve for x
    x = 3,013,557,712.55/76,263.67
  6. Step 6: Final answer
    x = 39,514.98

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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.