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Finding the Fourth Proportional to 51,489.50, 71,056.59 and 29,133.50

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Solution

The fourth proportional to 51,489.50, 71,056.59 and 29,133.50 is: 40,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489.50 : 71,056.59 = 29,133.50 : x
  2. Step 2: Convert to fraction form
    51,489.50/71,056.59 = 29,133.50/x
  3. Step 3: Cross multiply
    51,489.50x = 71,056.59 × 29,133.50
  4. Step 4: Simplify right side
    51,489.50x = 2,070,127,164.77
  5. Step 5: Solve for x
    x = 2,070,127,164.77/51,489.50
  6. Step 6: Final answer
    x = 40,204.84

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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.