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Finding the Fourth Proportional to 71,152.32, 106,496.79 and 52,424.88

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Solution

The fourth proportional to 71,152.32, 106,496.79 and 52,424.88 is: 78,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152.32 : 106,496.79 = 52,424.88 : x
  2. Step 2: Convert to fraction form
    71,152.32/106,496.79 = 52,424.88/x
  3. Step 3: Cross multiply
    71,152.32x = 106,496.79 × 52,424.88
  4. Step 4: Simplify right side
    71,152.32x = 5,583,081,436.14
  5. Step 5: Solve for x
    x = 5,583,081,436.14/71,152.32
  6. Step 6: Final answer
    x = 78,466.61

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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.