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Finding the Fourth Proportional to 30,747.40, 42,415.86 and 23,671.24

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Solution

The fourth proportional to 30,747.40, 42,415.86 and 23,671.24 is: 32,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,747.40 : 42,415.86 = 23,671.24 : x
  2. Step 2: Convert to fraction form
    30,747.40/42,415.86 = 23,671.24/x
  3. Step 3: Cross multiply
    30,747.40x = 42,415.86 × 23,671.24
  4. Step 4: Simplify right side
    30,747.40x = 1,004,036,001.87
  5. Step 5: Solve for x
    x = 1,004,036,001.87/30,747.40
  6. Step 6: Final answer
    x = 32,654.34

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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.