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Finding the Fourth Proportional to 82,948.32, 114,469.20 and 45,223.20

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Solution

The fourth proportional to 82,948.32, 114,469.20 and 45,223.20 is: 62,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,948.32 : 114,469.20 = 45,223.20 : x
  2. Step 2: Convert to fraction form
    82,948.32/114,469.20 = 45,223.20/x
  3. Step 3: Cross multiply
    82,948.32x = 114,469.20 × 45,223.20
  4. Step 4: Simplify right side
    82,948.32x = 5,176,663,525.44
  5. Step 5: Solve for x
    x = 5,176,663,525.44/82,948.32
  6. Step 6: Final answer
    x = 62,408.30

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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.