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Finding the Fourth Proportional to 52,907.76, 72,921.78 and 50,416.43

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Solution

The fourth proportional to 52,907.76, 72,921.78 and 50,416.43 is: 69,488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,907.76 : 72,921.78 = 50,416.43 : x
  2. Step 2: Convert to fraction form
    52,907.76/72,921.78 = 50,416.43/x
  3. Step 3: Cross multiply
    52,907.76x = 72,921.78 × 50,416.43
  4. Step 4: Simplify right side
    52,907.76x = 3,676,455,452.24
  5. Step 5: Solve for x
    x = 3,676,455,452.24/52,907.76
  6. Step 6: Final answer
    x = 69,488.02

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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.