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Finding the Fourth Proportional to 82,884.64, 124,378.80 and 33,636.64

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Solution

The fourth proportional to 82,884.64, 124,378.80 and 33,636.64 is: 50,476.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,884.64 : 124,378.80 = 33,636.64 : x
  2. Step 2: Convert to fraction form
    82,884.64/124,378.80 = 33,636.64/x
  3. Step 3: Cross multiply
    82,884.64x = 124,378.80 × 33,636.64
  4. Step 4: Simplify right side
    82,884.64x = 4,183,684,919.23
  5. Step 5: Solve for x
    x = 4,183,684,919.23/82,884.64
  6. Step 6: Final answer
    x = 50,476.00

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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.