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Finding the Fourth Proportional to 71,054.58, 106,384.95 and 35,920.80

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Solution

The fourth proportional to 71,054.58, 106,384.95 and 35,920.80 is: 53,781.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,054.58 : 106,384.95 = 35,920.80 : x
  2. Step 2: Convert to fraction form
    71,054.58/106,384.95 = 35,920.80/x
  3. Step 3: Cross multiply
    71,054.58x = 106,384.95 × 35,920.80
  4. Step 4: Simplify right side
    71,054.58x = 3,821,432,511.96
  5. Step 5: Solve for x
    x = 3,821,432,511.96/71,054.58
  6. Step 6: Final answer
    x = 53,781.65

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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.