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Finding the Fourth Proportional to 82,041.48, 113,255.04 and 48,045.24

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Solution

The fourth proportional to 82,041.48, 113,255.04 and 48,045.24 is: 66,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,041.48 : 113,255.04 = 48,045.24 : x
  2. Step 2: Convert to fraction form
    82,041.48/113,255.04 = 48,045.24/x
  3. Step 3: Cross multiply
    82,041.48x = 113,255.04 × 48,045.24
  4. Step 4: Simplify right side
    82,041.48x = 5,441,365,578.01
  5. Step 5: Solve for x
    x = 5,441,365,578.01/82,041.48
  6. Step 6: Final answer
    x = 66,324.57

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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.