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Finding the Fourth Proportional to 82,954.64, 114,495.28 and 48,950.48

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Solution

The fourth proportional to 82,954.64, 114,495.28 and 48,950.48 is: 67,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,954.64 : 114,495.28 = 48,950.48 : x
  2. Step 2: Convert to fraction form
    82,954.64/114,495.28 = 48,950.48/x
  3. Step 3: Cross multiply
    82,954.64x = 114,495.28 × 48,950.48
  4. Step 4: Simplify right side
    82,954.64x = 5,604,598,913.73
  5. Step 5: Solve for x
    x = 5,604,598,913.73/82,954.64
  6. Step 6: Final answer
    x = 67,562.21

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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.