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Finding the Fourth Proportional to 71,088.49, 106,714.75 and 36,101.96

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Solution

The fourth proportional to 71,088.49, 106,714.75 and 36,101.96 is: 54,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,088.49 : 106,714.75 = 36,101.96 : x
  2. Step 2: Convert to fraction form
    71,088.49/106,714.75 = 36,101.96/x
  3. Step 3: Cross multiply
    71,088.49x = 106,714.75 × 36,101.96
  4. Step 4: Simplify right side
    71,088.49x = 3,852,611,635.91
  5. Step 5: Solve for x
    x = 3,852,611,635.91/71,088.49
  6. Step 6: Final answer
    x = 54,194.59

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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.