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Finding the Fourth Proportional to 52,126.94, 71,935.44 and 28,253.41

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Solution

The fourth proportional to 52,126.94, 71,935.44 and 28,253.41 is: 38,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,126.94 : 71,935.44 = 28,253.41 : x
  2. Step 2: Convert to fraction form
    52,126.94/71,935.44 = 28,253.41/x
  3. Step 3: Cross multiply
    52,126.94x = 71,935.44 × 28,253.41
  4. Step 4: Simplify right side
    52,126.94x = 2,032,421,352.99
  5. Step 5: Solve for x
    x = 2,032,421,352.99/52,126.94
  6. Step 6: Final answer
    x = 38,989.84

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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.