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Finding the Fourth Proportional to 82,407.47, 123,616.43 and 31,830.63

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Solution

The fourth proportional to 82,407.47, 123,616.43 and 31,830.63 is: 47,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,407.47 : 123,616.43 = 31,830.63 : x
  2. Step 2: Convert to fraction form
    82,407.47/123,616.43 = 31,830.63/x
  3. Step 3: Cross multiply
    82,407.47x = 123,616.43 × 31,830.63
  4. Step 4: Simplify right side
    82,407.47x = 3,934,788,686.10
  5. Step 5: Solve for x
    x = 3,934,788,686.10/82,407.47
  6. Step 6: Final answer
    x = 47,747.96

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