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Finding the Fourth Proportional to 76,051.49, 114,096.68 and 31,663.49

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Solution

The fourth proportional to 76,051.49, 114,096.68 and 31,663.49 is: 47,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,051.49 : 114,096.68 = 31,663.49 : x
  2. Step 2: Convert to fraction form
    76,051.49/114,096.68 = 31,663.49/x
  3. Step 3: Cross multiply
    76,051.49x = 114,096.68 × 31,663.49
  4. Step 4: Simplify right side
    76,051.49x = 3,612,699,086.21
  5. Step 5: Solve for x
    x = 3,612,699,086.21/76,051.49
  6. Step 6: Final answer
    x = 47,503.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.