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Finding the Fourth Proportional to 58,042.88, 80,103.84 and 32,894

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Solution

The fourth proportional to 58,042.88, 80,103.84 and 32,894 is: 45,396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,042.88 : 80,103.84 = 32,894 : x
  2. Step 2: Convert to fraction form
    58,042.88/80,103.84 = 32,894/x
  3. Step 3: Cross multiply
    58,042.88x = 80,103.84 × 32,894
  4. Step 4: Simplify right side
    58,042.88x = 2,634,935,712.96
  5. Step 5: Solve for x
    x = 2,634,935,712.96/58,042.88
  6. Step 6: Final answer
    x = 45,396.36

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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.