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Finding the Fourth Proportional to 106,009.62, 159,048.95 and 49,855.32

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Solution

The fourth proportional to 106,009.62, 159,048.95 and 49,855.32 is: 74,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,009.62 : 159,048.95 = 49,855.32 : x
  2. Step 2: Convert to fraction form
    106,009.62/159,048.95 = 49,855.32/x
  3. Step 3: Cross multiply
    106,009.62x = 159,048.95 × 49,855.32
  4. Step 4: Simplify right side
    106,009.62x = 7,929,436,048.64
  5. Step 5: Solve for x
    x = 7,929,436,048.64/106,009.62
  6. Step 6: Final answer
    x = 74,799.21

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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.