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Finding the Fourth Proportional to 76,658.44, 114,941.56 and 29,276.68

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Solution

The fourth proportional to 76,658.44, 114,941.56 and 29,276.68 is: 43,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,658.44 : 114,941.56 = 29,276.68 : x
  2. Step 2: Convert to fraction form
    76,658.44/114,941.56 = 29,276.68/x
  3. Step 3: Cross multiply
    76,658.44x = 114,941.56 × 29,276.68
  4. Step 4: Simplify right side
    76,658.44x = 3,365,107,270.82
  5. Step 5: Solve for x
    x = 3,365,107,270.82/76,658.44
  6. Step 6: Final answer
    x = 43,897.41

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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.