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Finding the Fourth Proportional to 52,106.87, 71,907.81 and 28,233.72

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Solution

The fourth proportional to 52,106.87, 71,907.81 and 28,233.72 is: 38,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106.87 : 71,907.81 = 28,233.72 : x
  2. Step 2: Convert to fraction form
    52,106.87/71,907.81 = 28,233.72/x
  3. Step 3: Cross multiply
    52,106.87x = 71,907.81 × 28,233.72
  4. Step 4: Simplify right side
    52,106.87x = 2,030,224,973.35
  5. Step 5: Solve for x
    x = 2,030,224,973.35/52,106.87
  6. Step 6: Final answer
    x = 38,962.71

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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.