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Finding the Fourth Proportional to 55,635.94, 76,777.57 and 31,762.14

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Solution

The fourth proportional to 55,635.94, 76,777.57 and 31,762.14 is: 43,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,635.94 : 76,777.57 = 31,762.14 : x
  2. Step 2: Convert to fraction form
    55,635.94/76,777.57 = 31,762.14/x
  3. Step 3: Cross multiply
    55,635.94x = 76,777.57 × 31,762.14
  4. Step 4: Simplify right side
    55,635.94x = 2,438,619,927.20
  5. Step 5: Solve for x
    x = 2,438,619,927.20/55,635.94
  6. Step 6: Final answer
    x = 43,831.74

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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.