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Finding the Fourth Proportional to 58,769.28, 81,102.15 and 31,912.02

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Solution

The fourth proportional to 58,769.28, 81,102.15 and 31,912.02 is: 44,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,769.28 : 81,102.15 = 31,912.02 : x
  2. Step 2: Convert to fraction form
    58,769.28/81,102.15 = 31,912.02/x
  3. Step 3: Cross multiply
    58,769.28x = 81,102.15 × 31,912.02
  4. Step 4: Simplify right side
    58,769.28x = 2,588,133,432.84
  5. Step 5: Solve for x
    x = 2,588,133,432.84/58,769.28
  6. Step 6: Final answer
    x = 44,038.88

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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.