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Finding the Fourth Proportional to 76,136, 105,067.68 and 42,608.48

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Solution

The fourth proportional to 76,136, 105,067.68 and 42,608.48 is: 58,799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,136 : 105,067.68 = 42,608.48 : x
  2. Step 2: Convert to fraction form
    76,136/105,067.68 = 42,608.48/x
  3. Step 3: Cross multiply
    76,136x = 105,067.68 × 42,608.48
  4. Step 4: Simplify right side
    76,136x = 4,476,774,141.93
  5. Step 5: Solve for x
    x = 4,476,774,141.93/76,136
  6. Step 6: Final answer
    x = 58,799.70

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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.