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Finding the Fourth Proportional to 58,567.62, 80,822.70 and 31,709.64

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Solution

The fourth proportional to 58,567.62, 80,822.70 and 31,709.64 is: 43,758.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,567.62 : 80,822.70 = 31,709.64 : x
  2. Step 2: Convert to fraction form
    58,567.62/80,822.70 = 31,709.64/x
  3. Step 3: Cross multiply
    58,567.62x = 80,822.70 × 31,709.64
  4. Step 4: Simplify right side
    58,567.62x = 2,562,858,720.83
  5. Step 5: Solve for x
    x = 2,562,858,720.83/58,567.62
  6. Step 6: Final answer
    x = 43,758.97

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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.