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Finding the Fourth Proportional to 71,309.84, 106,848.10 and 37,994.56

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Solution

The fourth proportional to 71,309.84, 106,848.10 and 37,994.56 is: 56,929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,309.84 : 106,848.10 = 37,994.56 : x
  2. Step 2: Convert to fraction form
    71,309.84/106,848.10 = 37,994.56/x
  3. Step 3: Cross multiply
    71,309.84x = 106,848.10 × 37,994.56
  4. Step 4: Simplify right side
    71,309.84x = 4,059,646,546.34
  5. Step 5: Solve for x
    x = 4,059,646,546.34/71,309.84
  6. Step 6: Final answer
    x = 56,929.68

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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.