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Finding the Fourth Proportional to 83,189.52, 114,801.26 and 45,463.76

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Solution

The fourth proportional to 83,189.52, 114,801.26 and 45,463.76 is: 62,739.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,189.52 : 114,801.26 = 45,463.76 : x
  2. Step 2: Convert to fraction form
    83,189.52/114,801.26 = 45,463.76/x
  3. Step 3: Cross multiply
    83,189.52x = 114,801.26 × 45,463.76
  4. Step 4: Simplify right side
    83,189.52x = 5,219,296,932.34
  5. Step 5: Solve for x
    x = 5,219,296,932.34/83,189.52
  6. Step 6: Final answer
    x = 62,739.84

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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.