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Finding the Fourth Proportional to 81,589.68, 112,564.89 and 53,311.77

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Solution

The fourth proportional to 81,589.68, 112,564.89 and 53,311.77 is: 73,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,589.68 : 112,564.89 = 53,311.77 : x
  2. Step 2: Convert to fraction form
    81,589.68/112,564.89 = 53,311.77/x
  3. Step 3: Cross multiply
    81,589.68x = 112,564.89 × 53,311.77
  4. Step 4: Simplify right side
    81,589.68x = 6,001,033,525.76
  5. Step 5: Solve for x
    x = 6,001,033,525.76/81,589.68
  6. Step 6: Final answer
    x = 73,551.38

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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.