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Finding the Fourth Proportional to 50,411.64, 75,646.74 and 27,924.60

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Solution

The fourth proportional to 50,411.64, 75,646.74 and 27,924.60 is: 41,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,411.64 : 75,646.74 = 27,924.60 : x
  2. Step 2: Convert to fraction form
    50,411.64/75,646.74 = 27,924.60/x
  3. Step 3: Cross multiply
    50,411.64x = 75,646.74 × 27,924.60
  4. Step 4: Simplify right side
    50,411.64x = 2,112,404,955.80
  5. Step 5: Solve for x
    x = 2,112,404,955.80/50,411.64
  6. Step 6: Final answer
    x = 41,903.12

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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.