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Finding the Fourth Proportional to 106,542.51, 159,772.26 and 39,946.32

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Solution

The fourth proportional to 106,542.51, 159,772.26 and 39,946.32 is: 59,903.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,542.51 : 159,772.26 = 39,946.32 : x
  2. Step 2: Convert to fraction form
    106,542.51/159,772.26 = 39,946.32/x
  3. Step 3: Cross multiply
    106,542.51x = 159,772.26 × 39,946.32
  4. Step 4: Simplify right side
    106,542.51x = 6,382,313,825.08
  5. Step 5: Solve for x
    x = 6,382,313,825.08/106,542.51
  6. Step 6: Final answer
    x = 59,903.92

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1.5x scale

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.