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Finding the Fourth Proportional to 74,377.14, 102,638.64 and 42,544.14

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Solution

The fourth proportional to 74,377.14, 102,638.64 and 42,544.14 is: 58,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,377.14 : 102,638.64 = 42,544.14 : x
  2. Step 2: Convert to fraction form
    74,377.14/102,638.64 = 42,544.14/x
  3. Step 3: Cross multiply
    74,377.14x = 102,638.64 × 42,544.14
  4. Step 4: Simplify right side
    74,377.14x = 4,366,672,444.22
  5. Step 5: Solve for x
    x = 4,366,672,444.22/74,377.14
  6. Step 6: Final answer
    x = 58,709.88

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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.