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Finding the Fourth Proportional to 82,533.43, 113,779.77 and 58,651.39

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Solution

The fourth proportional to 82,533.43, 113,779.77 and 58,651.39 is: 80,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,533.43 : 113,779.77 = 58,651.39 : x
  2. Step 2: Convert to fraction form
    82,533.43/113,779.77 = 58,651.39/x
  3. Step 3: Cross multiply
    82,533.43x = 113,779.77 × 58,651.39
  4. Step 4: Simplify right side
    82,533.43x = 6,673,341,664.38
  5. Step 5: Solve for x
    x = 6,673,341,664.38/82,533.43
  6. Step 6: Final answer
    x = 80,856.23

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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.