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Finding the Fourth Proportional to 76,203, 105,160.50 and 42,669

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Solution

The fourth proportional to 76,203, 105,160.50 and 42,669 is: 58,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203 : 105,160.50 = 42,669 : x
  2. Step 2: Convert to fraction form
    76,203/105,160.50 = 42,669/x
  3. Step 3: Cross multiply
    76,203x = 105,160.50 × 42,669
  4. Step 4: Simplify right side
    76,203x = 4,487,093,374.50
  5. Step 5: Solve for x
    x = 4,487,093,374.50/76,203
  6. Step 6: Final answer
    x = 58,883.42

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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.