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Finding the Fourth Proportional to 82,050.40, 113,176.92 and 51,782.32

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Solution

The fourth proportional to 82,050.40, 113,176.92 and 51,782.32 is: 71,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,050.40 : 113,176.92 = 51,782.32 : x
  2. Step 2: Convert to fraction form
    82,050.40/113,176.92 = 51,782.32/x
  3. Step 3: Cross multiply
    82,050.40x = 113,176.92 × 51,782.32
  4. Step 4: Simplify right side
    82,050.40x = 5,860,563,488.05
  5. Step 5: Solve for x
    x = 5,860,563,488.05/82,050.40
  6. Step 6: Final answer
    x = 71,426.39

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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.