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Finding the Fourth Proportional to 74,188.34, 102,415.39 and 42,351.09

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Solution

The fourth proportional to 74,188.34, 102,415.39 and 42,351.09 is: 58,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,188.34 : 102,415.39 = 42,351.09 : x
  2. Step 2: Convert to fraction form
    74,188.34/102,415.39 = 42,351.09/x
  3. Step 3: Cross multiply
    74,188.34x = 102,415.39 × 42,351.09
  4. Step 4: Simplify right side
    74,188.34x = 4,337,402,909.34
  5. Step 5: Solve for x
    x = 4,337,402,909.34/74,188.34
  6. Step 6: Final answer
    x = 58,464.75

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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.