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Finding the Fourth Proportional to 77,567.52, 116,346.64 and 27,644.96

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Solution

The fourth proportional to 77,567.52, 116,346.64 and 27,644.96 is: 41,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,567.52 : 116,346.64 = 27,644.96 : x
  2. Step 2: Convert to fraction form
    77,567.52/116,346.64 = 27,644.96/x
  3. Step 3: Cross multiply
    77,567.52x = 116,346.64 × 27,644.96
  4. Step 4: Simplify right side
    77,567.52x = 3,216,398,208.93
  5. Step 5: Solve for x
    x = 3,216,398,208.93/77,567.52
  6. Step 6: Final answer
    x = 41,465.79

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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.