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Finding the Fourth Proportional to 106,563.64, 159,799.92 and 39,957.60

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Solution

The fourth proportional to 106,563.64, 159,799.92 and 39,957.60 is: 59,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,563.64 : 159,799.92 = 39,957.60 : x
  2. Step 2: Convert to fraction form
    106,563.64/159,799.92 = 39,957.60/x
  3. Step 3: Cross multiply
    106,563.64x = 159,799.92 × 39,957.60
  4. Step 4: Simplify right side
    106,563.64x = 6,385,221,283.39
  5. Step 5: Solve for x
    x = 6,385,221,283.39/106,563.64
  6. Step 6: Final answer
    x = 59,919.32

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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.