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Finding the Fourth Proportional to 82,152.50, 113,370.35 and 44,426.75

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Solution

The fourth proportional to 82,152.50, 113,370.35 and 44,426.75 is: 61,308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,152.50 : 113,370.35 = 44,426.75 : x
  2. Step 2: Convert to fraction form
    82,152.50/113,370.35 = 44,426.75/x
  3. Step 3: Cross multiply
    82,152.50x = 113,370.35 × 44,426.75
  4. Step 4: Simplify right side
    82,152.50x = 5,036,675,407.88
  5. Step 5: Solve for x
    x = 5,036,675,407.88/82,152.50
  6. Step 6: Final answer
    x = 61,308.86

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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.