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Finding the Fourth Proportional to 71,045.95, 106,245.20 and 53,046.77

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Solution

The fourth proportional to 71,045.95, 106,245.20 and 53,046.77 is: 79,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,045.95 : 106,245.20 = 53,046.77 : x
  2. Step 2: Convert to fraction form
    71,045.95/106,245.20 = 53,046.77/x
  3. Step 3: Cross multiply
    71,045.95x = 106,245.20 × 53,046.77
  4. Step 4: Simplify right side
    71,045.95x = 5,635,964,401.61
  5. Step 5: Solve for x
    x = 5,635,964,401.61/71,045.95
  6. Step 6: Final answer
    x = 79,328.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.