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Finding the Fourth Proportional to 51,784.62, 71,462.55 and 29,428.62

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Solution

The fourth proportional to 51,784.62, 71,462.55 and 29,428.62 is: 40,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,784.62 : 71,462.55 = 29,428.62 : x
  2. Step 2: Convert to fraction form
    51,784.62/71,462.55 = 29,428.62/x
  3. Step 3: Cross multiply
    51,784.62x = 71,462.55 × 29,428.62
  4. Step 4: Simplify right side
    51,784.62x = 2,103,044,228.18
  5. Step 5: Solve for x
    x = 2,103,044,228.18/51,784.62
  6. Step 6: Final answer
    x = 40,611.37

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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.