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Finding the Fourth Proportional to 75,686, 104,449.92 and 42,152

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Solution

The fourth proportional to 75,686, 104,449.92 and 42,152 is: 58,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,686 : 104,449.92 = 42,152 : x
  2. Step 2: Convert to fraction form
    75,686/104,449.92 = 42,152/x
  3. Step 3: Cross multiply
    75,686x = 104,449.92 × 42,152
  4. Step 4: Simplify right side
    75,686x = 4,402,773,027.84
  5. Step 5: Solve for x
    x = 4,402,773,027.84/75,686
  6. Step 6: Final answer
    x = 58,171.56

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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.