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Finding the Fourth Proportional to 74,086.44, 102,213.90 and 42,232.32

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Solution

The fourth proportional to 74,086.44, 102,213.90 and 42,232.32 is: 58,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,086.44 : 102,213.90 = 42,232.32 : x
  2. Step 2: Convert to fraction form
    74,086.44/102,213.90 = 42,232.32/x
  3. Step 3: Cross multiply
    74,086.44x = 102,213.90 × 42,232.32
  4. Step 4: Simplify right side
    74,086.44x = 4,316,730,133.25
  5. Step 5: Solve for x
    x = 4,316,730,133.25/74,086.44
  6. Step 6: Final answer
    x = 58,266.13

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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.