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Finding the Fourth Proportional to 82,045.62, 113,223.48 and 48,074.22

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Solution

The fourth proportional to 82,045.62, 113,223.48 and 48,074.22 is: 66,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,045.62 : 113,223.48 = 48,074.22 : x
  2. Step 2: Convert to fraction form
    82,045.62/113,223.48 = 48,074.22/x
  3. Step 3: Cross multiply
    82,045.62x = 113,223.48 × 48,074.22
  4. Step 4: Simplify right side
    82,045.62x = 5,443,130,486.69
  5. Step 5: Solve for x
    x = 5,443,130,486.69/82,045.62
  6. Step 6: Final answer
    x = 66,342.73

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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.