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Finding the Fourth Proportional to 106,378.94, 159,616.84 and 39,824.25

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Solution

The fourth proportional to 106,378.94, 159,616.84 and 39,824.25 is: 59,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,378.94 : 159,616.84 = 39,824.25 : x
  2. Step 2: Convert to fraction form
    106,378.94/159,616.84 = 39,824.25/x
  3. Step 3: Cross multiply
    106,378.94x = 159,616.84 × 39,824.25
  4. Step 4: Simplify right side
    106,378.94x = 6,356,619,943.16
  5. Step 5: Solve for x
    x = 6,356,619,943.16/106,378.94
  6. Step 6: Final answer
    x = 59,754.50

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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.