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Finding the Fourth Proportional to 86,457, 119,310.66 and 46,713

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Solution

The fourth proportional to 86,457, 119,310.66 and 46,713 is: 64,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,457 : 119,310.66 = 46,713 : x
  2. Step 2: Convert to fraction form
    86,457/119,310.66 = 46,713/x
  3. Step 3: Cross multiply
    86,457x = 119,310.66 × 46,713
  4. Step 4: Simplify right side
    86,457x = 5,573,358,860.58
  5. Step 5: Solve for x
    x = 5,573,358,860.58/86,457
  6. Step 6: Final answer
    x = 64,463.94

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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.