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Finding the Fourth Proportional to 42,823.38, 59,096.38 and 23,704.48

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Solution

The fourth proportional to 42,823.38, 59,096.38 and 23,704.48 is: 32,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,823.38 : 59,096.38 = 23,704.48 : x
  2. Step 2: Convert to fraction form
    42,823.38/59,096.38 = 23,704.48/x
  3. Step 3: Cross multiply
    42,823.38x = 59,096.38 × 23,704.48
  4. Step 4: Simplify right side
    42,823.38x = 1,400,848,957.78
  5. Step 5: Solve for x
    x = 1,400,848,957.78/42,823.38
  6. Step 6: Final answer
    x = 32,712.25

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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.