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Finding the Fourth Proportional to 52,523.40, 78,861.90 and 37,009.80

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Solution

The fourth proportional to 52,523.40, 78,861.90 and 37,009.80 is: 55,568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,523.40 : 78,861.90 = 37,009.80 : x
  2. Step 2: Convert to fraction form
    52,523.40/78,861.90 = 37,009.80/x
  3. Step 3: Cross multiply
    52,523.40x = 78,861.90 × 37,009.80
  4. Step 4: Simplify right side
    52,523.40x = 2,918,663,146.62
  5. Step 5: Solve for x
    x = 2,918,663,146.62/52,523.40
  6. Step 6: Final answer
    x = 55,568.82

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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.