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Finding the Fourth Proportional to 55,931.50, 77,186.69 and 30,781

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Solution

The fourth proportional to 55,931.50, 77,186.69 and 30,781 is: 42,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,931.50 : 77,186.69 = 30,781 : x
  2. Step 2: Convert to fraction form
    55,931.50/77,186.69 = 30,781/x
  3. Step 3: Cross multiply
    55,931.50x = 77,186.69 × 30,781
  4. Step 4: Simplify right side
    55,931.50x = 2,375,883,504.89
  5. Step 5: Solve for x
    x = 2,375,883,504.89/55,931.50
  6. Step 6: Final answer
    x = 42,478.45

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