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Finding the Fourth Proportional to 51,784.45, 71,461.86 and 29,123.43

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Solution

The fourth proportional to 51,784.45, 71,461.86 and 29,123.43 is: 40,189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,784.45 : 71,461.86 = 29,123.43 : x
  2. Step 2: Convert to fraction form
    51,784.45/71,461.86 = 29,123.43/x
  3. Step 3: Cross multiply
    51,784.45x = 71,461.86 × 29,123.43
  4. Step 4: Simplify right side
    51,784.45x = 2,081,214,477.38
  5. Step 5: Solve for x
    x = 2,081,214,477.38/51,784.45
  6. Step 6: Final answer
    x = 40,189.95

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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.