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Finding the Fourth Proportional to 65,178, 89,945.64 and 36,883.76

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Solution

The fourth proportional to 65,178, 89,945.64 and 36,883.76 is: 50,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,178 : 89,945.64 = 36,883.76 : x
  2. Step 2: Convert to fraction form
    65,178/89,945.64 = 36,883.76/x
  3. Step 3: Cross multiply
    65,178x = 89,945.64 × 36,883.76
  4. Step 4: Simplify right side
    65,178x = 3,317,532,949.08
  5. Step 5: Solve for x
    x = 3,317,532,949.08/65,178
  6. Step 6: Final answer
    x = 50,899.58

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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.