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Finding the Fourth Proportional to 58,567.28, 80,822.88 and 31,709.80

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Solution

The fourth proportional to 58,567.28, 80,822.88 and 31,709.80 is: 43,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,567.28 : 80,822.88 = 31,709.80 : x
  2. Step 2: Convert to fraction form
    58,567.28/80,822.88 = 31,709.80/x
  3. Step 3: Cross multiply
    58,567.28x = 80,822.88 × 31,709.80
  4. Step 4: Simplify right side
    58,567.28x = 2,562,877,360.22
  5. Step 5: Solve for x
    x = 2,562,877,360.22/58,567.28
  6. Step 6: Final answer
    x = 43,759.54

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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.