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Finding the Fourth Proportional to 71,208.40, 106,822.20 and 24,475.60

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Solution

The fourth proportional to 71,208.40, 106,822.20 and 24,475.60 is: 36,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,208.40 : 106,822.20 = 24,475.60 : x
  2. Step 2: Convert to fraction form
    71,208.40/106,822.20 = 24,475.60/x
  3. Step 3: Cross multiply
    71,208.40x = 106,822.20 × 24,475.60
  4. Step 4: Simplify right side
    71,208.40x = 2,614,537,438.32
  5. Step 5: Solve for x
    x = 2,614,537,438.32/71,208.40
  6. Step 6: Final answer
    x = 36,716.70

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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.