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Finding the Fourth Proportional to 86,499.64, 119,369.12 and 46,755.64

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Solution

The fourth proportional to 86,499.64, 119,369.12 and 46,755.64 is: 64,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,499.64 : 119,369.12 = 46,755.64 : x
  2. Step 2: Convert to fraction form
    86,499.64/119,369.12 = 46,755.64/x
  3. Step 3: Cross multiply
    86,499.64x = 119,369.12 × 46,755.64
  4. Step 4: Simplify right side
    86,499.64x = 5,581,179,601.84
  5. Step 5: Solve for x
    x = 5,581,179,601.84/86,499.64
  6. Step 6: Final answer
    x = 64,522.58

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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.