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Finding the Fourth Proportional to 106,657.33, 160,009.06 and 31,783.50

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Solution

The fourth proportional to 106,657.33, 160,009.06 and 31,783.50 is: 47,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,657.33 : 160,009.06 = 31,783.50 : x
  2. Step 2: Convert to fraction form
    106,657.33/160,009.06 = 31,783.50/x
  3. Step 3: Cross multiply
    106,657.33x = 160,009.06 × 31,783.50
  4. Step 4: Simplify right side
    106,657.33x = 5,085,647,799.59
  5. Step 5: Solve for x
    x = 5,085,647,799.59/106,657.33
  6. Step 6: Final answer
    x = 47,682.12

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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.