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Finding the Fourth Proportional to 74,216.10, 102,422.34 and 42,395.34

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Solution

The fourth proportional to 74,216.10, 102,422.34 and 42,395.34 is: 58,507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,216.10 : 102,422.34 = 42,395.34 : x
  2. Step 2: Convert to fraction form
    74,216.10/102,422.34 = 42,395.34/x
  3. Step 3: Cross multiply
    74,216.10x = 102,422.34 × 42,395.34
  4. Step 4: Simplify right side
    74,216.10x = 4,342,229,927.90
  5. Step 5: Solve for x
    x = 4,342,229,927.90/74,216.10
  6. Step 6: Final answer
    x = 58,507.92

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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.