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Finding the Fourth Proportional to 116,188.61, 174,264.66 and 31,955.09

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Solution

The fourth proportional to 116,188.61, 174,264.66 and 31,955.09 is: 47,927.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,188.61 : 174,264.66 = 31,955.09 : x
  2. Step 2: Convert to fraction form
    116,188.61/174,264.66 = 31,955.09/x
  3. Step 3: Cross multiply
    116,188.61x = 174,264.66 × 31,955.09
  4. Step 4: Simplify right side
    116,188.61x = 5,568,642,022.80
  5. Step 5: Solve for x
    x = 5,568,642,022.80/116,188.61
  6. Step 6: Final answer
    x = 47,927.61

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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.