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Finding the Fourth Proportional to 74,326.56, 102,576 and 42,505.44

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Solution

The fourth proportional to 74,326.56, 102,576 and 42,505.44 is: 58,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,326.56 : 102,576 = 42,505.44 : x
  2. Step 2: Convert to fraction form
    74,326.56/102,576 = 42,505.44/x
  3. Step 3: Cross multiply
    74,326.56x = 102,576 × 42,505.44
  4. Step 4: Simplify right side
    74,326.56x = 4,360,038,013.44
  5. Step 5: Solve for x
    x = 4,360,038,013.44/74,326.56
  6. Step 6: Final answer
    x = 58,660.57

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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.