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Finding the Fourth Proportional to 52,106.68, 71,907.12 and 28,234

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Solution

The fourth proportional to 52,106.68, 71,907.12 and 28,234 is: 38,962.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106.68 : 71,907.12 = 28,234 : x
  2. Step 2: Convert to fraction form
    52,106.68/71,907.12 = 28,234/x
  3. Step 3: Cross multiply
    52,106.68x = 71,907.12 × 28,234
  4. Step 4: Simplify right side
    52,106.68x = 2,030,225,626.08
  5. Step 5: Solve for x
    x = 2,030,225,626.08/52,106.68
  6. Step 6: Final answer
    x = 38,962.87

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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.