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Finding the Fourth Proportional to 116,084.30, 174,112.77 and 31,852.98

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Solution

The fourth proportional to 116,084.30, 174,112.77 and 31,852.98 is: 47,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,084.30 : 174,112.77 = 31,852.98 : x
  2. Step 2: Convert to fraction form
    116,084.30/174,112.77 = 31,852.98/x
  3. Step 3: Cross multiply
    116,084.30x = 174,112.77 × 31,852.98
  4. Step 4: Simplify right side
    116,084.30x = 5,546,010,580.55
  5. Step 5: Solve for x
    x = 5,546,010,580.55/116,084.30
  6. Step 6: Final answer
    x = 47,775.72

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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.