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Finding the Fourth Proportional to 58,770.25, 81,102.99 and 31,912.77

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Solution

The fourth proportional to 58,770.25, 81,102.99 and 31,912.77 is: 44,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,770.25 : 81,102.99 = 31,912.77 : x
  2. Step 2: Convert to fraction form
    58,770.25/81,102.99 = 31,912.77/x
  3. Step 3: Cross multiply
    58,770.25x = 81,102.99 × 31,912.77
  4. Step 4: Simplify right side
    58,770.25x = 2,588,221,066.18
  5. Step 5: Solve for x
    x = 2,588,221,066.18/58,770.25
  6. Step 6: Final answer
    x = 44,039.65

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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.