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Finding the Fourth Proportional to 76,968.32, 106,234 and 45,147.48

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Solution

The fourth proportional to 76,968.32, 106,234 and 45,147.48 is: 62,313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,968.32 : 106,234 = 45,147.48 : x
  2. Step 2: Convert to fraction form
    76,968.32/106,234 = 45,147.48/x
  3. Step 3: Cross multiply
    76,968.32x = 106,234 × 45,147.48
  4. Step 4: Simplify right side
    76,968.32x = 4,796,197,390.32
  5. Step 5: Solve for x
    x = 4,796,197,390.32/76,968.32
  6. Step 6: Final answer
    x = 62,313.92

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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.