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Finding the Fourth Proportional to 71,178.63, 106,731.90 and 23,776.83

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Solution

The fourth proportional to 71,178.63, 106,731.90 and 23,776.83 is: 35,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,178.63 : 106,731.90 = 23,776.83 : x
  2. Step 2: Convert to fraction form
    71,178.63/106,731.90 = 23,776.83/x
  3. Step 3: Cross multiply
    71,178.63x = 106,731.90 × 23,776.83
  4. Step 4: Simplify right side
    71,178.63x = 2,537,746,241.88
  5. Step 5: Solve for x
    x = 2,537,746,241.88/71,178.63
  6. Step 6: Final answer
    x = 35,653.20

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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.