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Finding the Fourth Proportional to 75,696.32, 113,447.88 and 33,564.32

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Solution

The fourth proportional to 75,696.32, 113,447.88 and 33,564.32 is: 50,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,696.32 : 113,447.88 = 33,564.32 : x
  2. Step 2: Convert to fraction form
    75,696.32/113,447.88 = 33,564.32/x
  3. Step 3: Cross multiply
    75,696.32x = 113,447.88 × 33,564.32
  4. Step 4: Simplify right side
    75,696.32x = 3,807,800,947.64
  5. Step 5: Solve for x
    x = 3,807,800,947.64/75,696.32
  6. Step 6: Final answer
    x = 50,303.65

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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.