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Finding the Fourth Proportional to 76,102.84, 114,201.65 and 36,663.94

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Solution

The fourth proportional to 76,102.84, 114,201.65 and 36,663.94 is: 55,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102.84 : 114,201.65 = 36,663.94 : x
  2. Step 2: Convert to fraction form
    76,102.84/114,201.65 = 36,663.94/x
  3. Step 3: Cross multiply
    76,102.84x = 114,201.65 × 36,663.94
  4. Step 4: Simplify right side
    76,102.84x = 4,187,082,443.50
  5. Step 5: Solve for x
    x = 4,187,082,443.50/76,102.84
  6. Step 6: Final answer
    x = 55,018.74

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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.