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Finding the Fourth Proportional to 106,657.43, 159,986.15 and 31,775.64

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Solution

The fourth proportional to 106,657.43, 159,986.15 and 31,775.64 is: 47,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,657.43 : 159,986.15 = 31,775.64 : x
  2. Step 2: Convert to fraction form
    106,657.43/159,986.15 = 31,775.64/x
  3. Step 3: Cross multiply
    106,657.43x = 159,986.15 × 31,775.64
  4. Step 4: Simplify right side
    106,657.43x = 5,083,662,148.51
  5. Step 5: Solve for x
    x = 5,083,662,148.51/106,657.43
  6. Step 6: Final answer
    x = 47,663.46

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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.