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Finding the Fourth Proportional to 34,737.60, 52,029.60 and 26,884.80

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Solution

The fourth proportional to 34,737.60, 52,029.60 and 26,884.80 is: 40,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,737.60 : 52,029.60 = 26,884.80 : x
  2. Step 2: Convert to fraction form
    34,737.60/52,029.60 = 26,884.80/x
  3. Step 3: Cross multiply
    34,737.60x = 52,029.60 × 26,884.80
  4. Step 4: Simplify right side
    34,737.60x = 1,398,805,390.08
  5. Step 5: Solve for x
    x = 1,398,805,390.08/34,737.60
  6. Step 6: Final answer
    x = 40,267.76

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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.