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Finding the Fourth Proportional to 116,516.48, 174,778.59 and 32,277.49

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Solution

The fourth proportional to 116,516.48, 174,778.59 and 32,277.49 is: 48,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,516.48 : 174,778.59 = 32,277.49 : x
  2. Step 2: Convert to fraction form
    116,516.48/174,778.59 = 32,277.49/x
  3. Step 3: Cross multiply
    116,516.48x = 174,778.59 × 32,277.49
  4. Step 4: Simplify right side
    116,516.48x = 5,641,414,190.94
  5. Step 5: Solve for x
    x = 5,641,414,190.94/116,516.48
  6. Step 6: Final answer
    x = 48,417.31

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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.