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Finding the Fourth Proportional to 84,818.34, 116,972.91 and 52,990.38

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Solution

The fourth proportional to 84,818.34, 116,972.91 and 52,990.38 is: 73,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,818.34 : 116,972.91 = 52,990.38 : x
  2. Step 2: Convert to fraction form
    84,818.34/116,972.91 = 52,990.38/x
  3. Step 3: Cross multiply
    84,818.34x = 116,972.91 × 52,990.38
  4. Step 4: Simplify right side
    84,818.34x = 6,198,438,950.61
  5. Step 5: Solve for x
    x = 6,198,438,950.61/84,818.34
  6. Step 6: Final answer
    x = 73,078.99

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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.