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Finding the Fourth Proportional to 82,353.96, 123,445.32 and 40,176.48

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Solution

The fourth proportional to 82,353.96, 123,445.32 and 40,176.48 is: 60,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,353.96 : 123,445.32 = 40,176.48 : x
  2. Step 2: Convert to fraction form
    82,353.96/123,445.32 = 40,176.48/x
  3. Step 3: Cross multiply
    82,353.96x = 123,445.32 × 40,176.48
  4. Step 4: Simplify right side
    82,353.96x = 4,959,598,430.07
  5. Step 5: Solve for x
    x = 4,959,598,430.07/82,353.96
  6. Step 6: Final answer
    x = 60,222.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.