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Finding the Fourth Proportional to 58,567.14, 80,822.66 and 31,709.66

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Solution

The fourth proportional to 58,567.14, 80,822.66 and 31,709.66 is: 43,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,567.14 : 80,822.66 = 31,709.66 : x
  2. Step 2: Convert to fraction form
    58,567.14/80,822.66 = 31,709.66/x
  3. Step 3: Cross multiply
    58,567.14x = 80,822.66 × 31,709.66
  4. Step 4: Simplify right side
    58,567.14x = 2,562,858,506.23
  5. Step 5: Solve for x
    x = 2,562,858,506.23/58,567.14
  6. Step 6: Final answer
    x = 43,759.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.