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Finding the Fourth Proportional to 82,531.50, 113,919.40 and 52,723.50

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Solution

The fourth proportional to 82,531.50, 113,919.40 and 52,723.50 is: 72,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,531.50 : 113,919.40 = 52,723.50 : x
  2. Step 2: Convert to fraction form
    82,531.50/113,919.40 = 52,723.50/x
  3. Step 3: Cross multiply
    82,531.50x = 113,919.40 × 52,723.50
  4. Step 4: Simplify right side
    82,531.50x = 6,006,229,485.90
  5. Step 5: Solve for x
    x = 6,006,229,485.90/82,531.50
  6. Step 6: Final answer
    x = 72,774.99

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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.