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Finding the Fourth Proportional to 76,123.77, 114,154.44 and 22,796.96

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Solution

The fourth proportional to 76,123.77, 114,154.44 and 22,796.96 is: 34,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,123.77 : 114,154.44 = 22,796.96 : x
  2. Step 2: Convert to fraction form
    76,123.77/114,154.44 = 22,796.96/x
  3. Step 3: Cross multiply
    76,123.77x = 114,154.44 × 22,796.96
  4. Step 4: Simplify right side
    76,123.77x = 2,602,374,202.50
  5. Step 5: Solve for x
    x = 2,602,374,202.50/76,123.77
  6. Step 6: Final answer
    x = 34,186.09

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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.