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Finding the Fourth Proportional to 76,150.16, 105,087.36 and 42,161

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Solution

The fourth proportional to 76,150.16, 105,087.36 and 42,161 is: 58,182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,150.16 : 105,087.36 = 42,161 : x
  2. Step 2: Convert to fraction form
    76,150.16/105,087.36 = 42,161/x
  3. Step 3: Cross multiply
    76,150.16x = 105,087.36 × 42,161
  4. Step 4: Simplify right side
    76,150.16x = 4,430,588,184.96
  5. Step 5: Solve for x
    x = 4,430,588,184.96/76,150.16
  6. Step 6: Final answer
    x = 58,182.26

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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.