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Finding the Fourth Proportional to 65,184, 89,953.92 and 36,889.77

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Solution

The fourth proportional to 65,184, 89,953.92 and 36,889.77 is: 50,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184 : 89,953.92 = 36,889.77 : x
  2. Step 2: Convert to fraction form
    65,184/89,953.92 = 36,889.77/x
  3. Step 3: Cross multiply
    65,184x = 89,953.92 × 36,889.77
  4. Step 4: Simplify right side
    65,184x = 3,318,379,419.40
  5. Step 5: Solve for x
    x = 3,318,379,419.40/65,184
  6. Step 6: Final answer
    x = 50,907.88

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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.