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Finding the Fourth Proportional to 71,209.98, 106,583.40 and 52,482.60

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Solution

The fourth proportional to 71,209.98, 106,583.40 and 52,482.60 is: 78,553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,209.98 : 106,583.40 = 52,482.60 : x
  2. Step 2: Convert to fraction form
    71,209.98/106,583.40 = 52,482.60/x
  3. Step 3: Cross multiply
    71,209.98x = 106,583.40 × 52,482.60
  4. Step 4: Simplify right side
    71,209.98x = 5,593,773,948.84
  5. Step 5: Solve for x
    x = 5,593,773,948.84/71,209.98
  6. Step 6: Final answer
    x = 78,553.23

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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.