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Finding the Fourth Proportional to 100,782, 151,176.28 and 30,662

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Solution

The fourth proportional to 100,782, 151,176.28 and 30,662 is: 45,994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,782 : 151,176.28 = 30,662 : x
  2. Step 2: Convert to fraction form
    100,782/151,176.28 = 30,662/x
  3. Step 3: Cross multiply
    100,782x = 151,176.28 × 30,662
  4. Step 4: Simplify right side
    100,782x = 4,635,367,097.36
  5. Step 5: Solve for x
    x = 4,635,367,097.36/100,782
  6. Step 6: Final answer
    x = 45,994.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.