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Finding the Fourth Proportional to 46,640.40, 69,934.95 and 31,866

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Solution

The fourth proportional to 46,640.40, 69,934.95 and 31,866 is: 47,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,640.40 : 69,934.95 = 31,866 : x
  2. Step 2: Convert to fraction form
    46,640.40/69,934.95 = 31,866/x
  3. Step 3: Cross multiply
    46,640.40x = 69,934.95 × 31,866
  4. Step 4: Simplify right side
    46,640.40x = 2,228,547,116.70
  5. Step 5: Solve for x
    x = 2,228,547,116.70/46,640.40
  6. Step 6: Final answer
    x = 47,781.48

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