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Finding the Fourth Proportional to 52,106.37, 71,907.12 and 28,233.22

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Solution

The fourth proportional to 52,106.37, 71,907.12 and 28,233.22 is: 38,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106.37 : 71,907.12 = 28,233.22 : x
  2. Step 2: Convert to fraction form
    52,106.37/71,907.12 = 28,233.22/x
  3. Step 3: Cross multiply
    52,106.37x = 71,907.12 × 28,233.22
  4. Step 4: Simplify right side
    52,106.37x = 2,030,169,358.76
  5. Step 5: Solve for x
    x = 2,030,169,358.76/52,106.37
  6. Step 6: Final answer
    x = 38,962.02

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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.