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Finding the Fourth Proportional to 102,498.98, 153,770.75 and 31,421.89

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Solution

The fourth proportional to 102,498.98, 153,770.75 and 31,421.89 is: 47,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,498.98 : 153,770.75 = 31,421.89 : x
  2. Step 2: Convert to fraction form
    102,498.98/153,770.75 = 31,421.89/x
  3. Step 3: Cross multiply
    102,498.98x = 153,770.75 × 31,421.89
  4. Step 4: Simplify right side
    102,498.98x = 4,831,766,665.75
  5. Step 5: Solve for x
    x = 4,831,766,665.75/102,498.98
  6. Step 6: Final answer
    x = 47,139.66

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