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Finding the Fourth Proportional to 106,364.33, 159,574.17 and 39,809.60

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Solution

The fourth proportional to 106,364.33, 159,574.17 and 39,809.60 is: 59,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,364.33 : 159,574.17 = 39,809.60 : x
  2. Step 2: Convert to fraction form
    106,364.33/159,574.17 = 39,809.60/x
  3. Step 3: Cross multiply
    106,364.33x = 159,574.17 × 39,809.60
  4. Step 4: Simplify right side
    106,364.33x = 6,352,583,878.03
  5. Step 5: Solve for x
    x = 6,352,583,878.03/106,364.33
  6. Step 6: Final answer
    x = 59,724.76

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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.