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Finding the Fourth Proportional to 55,678.38, 76,818.09 and 31,477

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Solution

The fourth proportional to 55,678.38, 76,818.09 and 31,477 is: 43,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,678.38 : 76,818.09 = 31,477 : x
  2. Step 2: Convert to fraction form
    55,678.38/76,818.09 = 31,477/x
  3. Step 3: Cross multiply
    55,678.38x = 76,818.09 × 31,477
  4. Step 4: Simplify right side
    55,678.38x = 2,418,003,018.93
  5. Step 5: Solve for x
    x = 2,418,003,018.93/55,678.38
  6. Step 6: Final answer
    x = 43,428.04

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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.