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Finding the Fourth Proportional to 67,825.34, 93,491.10 and 53,461.87

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Solution

The fourth proportional to 67,825.34, 93,491.10 and 53,461.87 is: 73,692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,825.34 : 93,491.10 = 53,461.87 : x
  2. Step 2: Convert to fraction form
    67,825.34/93,491.10 = 53,461.87/x
  3. Step 3: Cross multiply
    67,825.34x = 93,491.10 × 53,461.87
  4. Step 4: Simplify right side
    67,825.34x = 4,998,209,251.34
  5. Step 5: Solve for x
    x = 4,998,209,251.34/67,825.34
  6. Step 6: Final answer
    x = 73,692.36

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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.