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Finding the Fourth Proportional to 82,950.40, 114,466.62 and 47,135.44

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Solution

The fourth proportional to 82,950.40, 114,466.62 and 47,135.44 is: 65,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,950.40 : 114,466.62 = 47,135.44 : x
  2. Step 2: Convert to fraction form
    82,950.40/114,466.62 = 47,135.44/x
  3. Step 3: Cross multiply
    82,950.40x = 114,466.62 × 47,135.44
  4. Step 4: Simplify right side
    82,950.40x = 5,395,434,499.01
  5. Step 5: Solve for x
    x = 5,395,434,499.01/82,950.40
  6. Step 6: Final answer
    x = 65,044.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.