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Finding the Fourth Proportional to 86,133, 118,861.38 and 47,892.63

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Solution

The fourth proportional to 86,133, 118,861.38 and 47,892.63 is: 66,090.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,133 : 118,861.38 = 47,892.63 : x
  2. Step 2: Convert to fraction form
    86,133/118,861.38 = 47,892.63/x
  3. Step 3: Cross multiply
    86,133x = 118,861.38 × 47,892.63
  4. Step 4: Simplify right side
    86,133x = 5,692,584,093.63
  5. Step 5: Solve for x
    x = 5,692,584,093.63/86,133
  6. Step 6: Final answer
    x = 66,090.63

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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.