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Finding the Fourth Proportional to 105,993.08, 158,989.62 and 46,889

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Solution

The fourth proportional to 105,993.08, 158,989.62 and 46,889 is: 70,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,993.08 : 158,989.62 = 46,889 : x
  2. Step 2: Convert to fraction form
    105,993.08/158,989.62 = 46,889/x
  3. Step 3: Cross multiply
    105,993.08x = 158,989.62 × 46,889
  4. Step 4: Simplify right side
    105,993.08x = 7,454,864,292.18
  5. Step 5: Solve for x
    x = 7,454,864,292.18/105,993.08
  6. Step 6: Final answer
    x = 70,333.50

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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.