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Finding the Fourth Proportional to 82,818.52, 114,289.82 and 45,093

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Solution

The fourth proportional to 82,818.52, 114,289.82 and 45,093 is: 62,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,818.52 : 114,289.82 = 45,093 : x
  2. Step 2: Convert to fraction form
    82,818.52/114,289.82 = 45,093/x
  3. Step 3: Cross multiply
    82,818.52x = 114,289.82 × 45,093
  4. Step 4: Simplify right side
    82,818.52x = 5,153,670,853.26
  5. Step 5: Solve for x
    x = 5,153,670,853.26/82,818.52
  6. Step 6: Final answer
    x = 62,228.48

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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.