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Finding the Fourth Proportional to 86,457.25, 119,311.01 and 46,713.25

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Solution

The fourth proportional to 86,457.25, 119,311.01 and 46,713.25 is: 64,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,457.25 : 119,311.01 = 46,713.25 : x
  2. Step 2: Convert to fraction form
    86,457.25/119,311.01 = 46,713.25/x
  3. Step 3: Cross multiply
    86,457.25x = 119,311.01 × 46,713.25
  4. Step 4: Simplify right side
    86,457.25x = 5,573,405,037.88
  5. Step 5: Solve for x
    x = 5,573,405,037.88/86,457.25
  6. Step 6: Final answer
    x = 64,464.29

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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.