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Finding the Fourth Proportional to 84,144.34, 116,119.31 and 46,418.50

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Solution

The fourth proportional to 84,144.34, 116,119.31 and 46,418.50 is: 64,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,144.34 : 116,119.31 = 46,418.50 : x
  2. Step 2: Convert to fraction form
    84,144.34/116,119.31 = 46,418.50/x
  3. Step 3: Cross multiply
    84,144.34x = 116,119.31 × 46,418.50
  4. Step 4: Simplify right side
    84,144.34x = 5,390,084,191.24
  5. Step 5: Solve for x
    x = 5,390,084,191.24/84,144.34
  6. Step 6: Final answer
    x = 64,057.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.