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Finding the Fourth Proportional to 33,523.04, 46,247.64 and 20,090

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Solution

The fourth proportional to 33,523.04, 46,247.64 and 20,090 is: 27,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,523.04 : 46,247.64 = 20,090 : x
  2. Step 2: Convert to fraction form
    33,523.04/46,247.64 = 20,090/x
  3. Step 3: Cross multiply
    33,523.04x = 46,247.64 × 20,090
  4. Step 4: Simplify right side
    33,523.04x = 929,115,087.60
  5. Step 5: Solve for x
    x = 929,115,087.60/33,523.04
  6. Step 6: Final answer
    x = 27,715.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.