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Finding the Fourth Proportional to 82,980.60, 114,523.52 and 50,708.58

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Solution

The fourth proportional to 82,980.60, 114,523.52 and 50,708.58 is: 69,984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,980.60 : 114,523.52 = 50,708.58 : x
  2. Step 2: Convert to fraction form
    82,980.60/114,523.52 = 50,708.58/x
  3. Step 3: Cross multiply
    82,980.60x = 114,523.52 × 50,708.58
  4. Step 4: Simplify right side
    82,980.60x = 5,807,324,822.26
  5. Step 5: Solve for x
    x = 5,807,324,822.26/82,980.60
  6. Step 6: Final answer
    x = 69,984.13

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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.