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Finding the Fourth Proportional to 51,525, 71,104.50 and 29,169

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Solution

The fourth proportional to 51,525, 71,104.50 and 29,169 is: 40,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,525 : 71,104.50 = 29,169 : x
  2. Step 2: Convert to fraction form
    51,525/71,104.50 = 29,169/x
  3. Step 3: Cross multiply
    51,525x = 71,104.50 × 29,169
  4. Step 4: Simplify right side
    51,525x = 2,074,047,160.50
  5. Step 5: Solve for x
    x = 2,074,047,160.50/51,525
  6. Step 6: Final answer
    x = 40,253.22

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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.