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Finding the Fourth Proportional to 105,289, 157,960.86 and 31,417

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Solution

The fourth proportional to 105,289, 157,960.86 and 31,417 is: 47,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,289 : 157,960.86 = 31,417 : x
  2. Step 2: Convert to fraction form
    105,289/157,960.86 = 31,417/x
  3. Step 3: Cross multiply
    105,289x = 157,960.86 × 31,417
  4. Step 4: Simplify right side
    105,289x = 4,962,656,338.62
  5. Step 5: Solve for x
    x = 4,962,656,338.62/105,289
  6. Step 6: Final answer
    x = 47,133.66

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