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Finding the Fourth Proportional to 57,002.34, 78,661.62 and 31,851.84

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Solution

The fourth proportional to 57,002.34, 78,661.62 and 31,851.84 is: 43,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,002.34 : 78,661.62 = 31,851.84 : x
  2. Step 2: Convert to fraction form
    57,002.34/78,661.62 = 31,851.84/x
  3. Step 3: Cross multiply
    57,002.34x = 78,661.62 × 31,851.84
  4. Step 4: Simplify right side
    57,002.34x = 2,505,517,334.38
  5. Step 5: Solve for x
    x = 2,505,517,334.38/57,002.34
  6. Step 6: Final answer
    x = 43,954.64

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Why These Related Problems?

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