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Finding the Fourth Proportional to 84,549.20, 116,412.34 and 71,775.91

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Solution

The fourth proportional to 84,549.20, 116,412.34 and 71,775.91 is: 98,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,549.20 : 116,412.34 = 71,775.91 : x
  2. Step 2: Convert to fraction form
    84,549.20/116,412.34 = 71,775.91/x
  3. Step 3: Cross multiply
    84,549.20x = 116,412.34 × 71,775.91
  4. Step 4: Simplify right side
    84,549.20x = 8,355,601,638.73
  5. Step 5: Solve for x
    x = 8,355,601,638.73/84,549.20
  6. Step 6: Final answer
    x = 98,825.32

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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.