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Finding the Fourth Proportional to 71,880.98, 107,827.95 and 27,505.94

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Solution

The fourth proportional to 71,880.98, 107,827.95 and 27,505.94 is: 41,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,880.98 : 107,827.95 = 27,505.94 : x
  2. Step 2: Convert to fraction form
    71,880.98/107,827.95 = 27,505.94/x
  3. Step 3: Cross multiply
    71,880.98x = 107,827.95 × 27,505.94
  4. Step 4: Simplify right side
    71,880.98x = 2,965,909,123.02
  5. Step 5: Solve for x
    x = 2,965,909,123.02/71,880.98
  6. Step 6: Final answer
    x = 41,261.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.