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Finding the Fourth Proportional to 83,069, 114,595.30 and 54,376.01

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Solution

The fourth proportional to 83,069, 114,595.30 and 54,376.01 is: 75,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,069 : 114,595.30 = 54,376.01 : x
  2. Step 2: Convert to fraction form
    83,069/114,595.30 = 54,376.01/x
  3. Step 3: Cross multiply
    83,069x = 114,595.30 × 54,376.01
  4. Step 4: Simplify right side
    83,069x = 6,231,235,178.75
  5. Step 5: Solve for x
    x = 6,231,235,178.75/83,069
  6. Step 6: Final answer
    x = 75,012.76

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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.