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Finding the Fourth Proportional to 86,459, 119,313.42 and 46,715

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Solution

The fourth proportional to 86,459, 119,313.42 and 46,715 is: 64,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,459 : 119,313.42 = 46,715 : x
  2. Step 2: Convert to fraction form
    86,459/119,313.42 = 46,715/x
  3. Step 3: Cross multiply
    86,459x = 119,313.42 × 46,715
  4. Step 4: Simplify right side
    86,459x = 5,573,726,415.30
  5. Step 5: Solve for x
    x = 5,573,726,415.30/86,459
  6. Step 6: Final answer
    x = 64,466.70

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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.