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Finding the Fourth Proportional to 58,770.80, 81,103.85 and 31,913.09

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Solution

The fourth proportional to 58,770.80, 81,103.85 and 31,913.09 is: 44,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,770.80 : 81,103.85 = 31,913.09 : x
  2. Step 2: Convert to fraction form
    58,770.80/81,103.85 = 31,913.09/x
  3. Step 3: Cross multiply
    58,770.80x = 81,103.85 × 31,913.09
  4. Step 4: Simplify right side
    58,770.80x = 2,588,274,323.13
  5. Step 5: Solve for x
    x = 2,588,274,323.13/58,770.80
  6. Step 6: Final answer
    x = 44,040.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.