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Finding the Fourth Proportional to 76,682.48, 105,822.60 and 43,142

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Solution

The fourth proportional to 76,682.48, 105,822.60 and 43,142 is: 59,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,682.48 : 105,822.60 = 43,142 : x
  2. Step 2: Convert to fraction form
    76,682.48/105,822.60 = 43,142/x
  3. Step 3: Cross multiply
    76,682.48x = 105,822.60 × 43,142
  4. Step 4: Simplify right side
    76,682.48x = 4,565,398,609.20
  5. Step 5: Solve for x
    x = 4,565,398,609.20/76,682.48
  6. Step 6: Final answer
    x = 59,536.40

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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.