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Finding the Fourth Proportional to 52,033.32, 71,806 and 36,126.98

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Solution

The fourth proportional to 52,033.32, 71,806 and 36,126.98 is: 49,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,033.32 : 71,806 = 36,126.98 : x
  2. Step 2: Convert to fraction form
    52,033.32/71,806 = 36,126.98/x
  3. Step 3: Cross multiply
    52,033.32x = 71,806 × 36,126.98
  4. Step 4: Simplify right side
    52,033.32x = 2,594,133,925.88
  5. Step 5: Solve for x
    x = 2,594,133,925.88/52,033.32
  6. Step 6: Final answer
    x = 49,855.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.