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Finding the Fourth Proportional to 116,085.14, 174,128 and 31,846.54

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Solution

The fourth proportional to 116,085.14, 174,128 and 31,846.54 is: 47,769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,085.14 : 174,128 = 31,846.54 : x
  2. Step 2: Convert to fraction form
    116,085.14/174,128 = 31,846.54/x
  3. Step 3: Cross multiply
    116,085.14x = 174,128 × 31,846.54
  4. Step 4: Simplify right side
    116,085.14x = 5,545,374,317.12
  5. Step 5: Solve for x
    x = 5,545,374,317.12/116,085.14
  6. Step 6: Final answer
    x = 47,769.89

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1.5x scale

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.