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Finding the Fourth Proportional to 71,341.80, 106,910.30 and 52,474.60

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Solution

The fourth proportional to 71,341.80, 106,910.30 and 52,474.60 is: 78,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,341.80 : 106,910.30 = 52,474.60 : x
  2. Step 2: Convert to fraction form
    71,341.80/106,910.30 = 52,474.60/x
  3. Step 3: Cross multiply
    71,341.80x = 106,910.30 × 52,474.60
  4. Step 4: Simplify right side
    71,341.80x = 5,610,075,228.38
  5. Step 5: Solve for x
    x = 5,610,075,228.38/71,341.80
  6. Step 6: Final answer
    x = 78,636.58

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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.