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Finding the Fourth Proportional to 76,142, 105,076.32 and 42,608

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Solution

The fourth proportional to 76,142, 105,076.32 and 42,608 is: 58,799.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,142 : 105,076.32 = 42,608 : x
  2. Step 2: Convert to fraction form
    76,142/105,076.32 = 42,608/x
  3. Step 3: Cross multiply
    76,142x = 105,076.32 × 42,608
  4. Step 4: Simplify right side
    76,142x = 4,477,091,842.56
  5. Step 5: Solve for x
    x = 4,477,091,842.56/76,142
  6. Step 6: Final answer
    x = 58,799.24

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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.