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Finding the Fourth Proportional to 84,518.34, 116,714.32 and 54,356.03

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Solution

The fourth proportional to 84,518.34, 116,714.32 and 54,356.03 is: 75,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,518.34 : 116,714.32 = 54,356.03 : x
  2. Step 2: Convert to fraction form
    84,518.34/116,714.32 = 54,356.03/x
  3. Step 3: Cross multiply
    84,518.34x = 116,714.32 × 54,356.03
  4. Step 4: Simplify right side
    84,518.34x = 6,344,126,797.57
  5. Step 5: Solve for x
    x = 6,344,126,797.57/84,518.34
  6. Step 6: Final answer
    x = 75,062.14

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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.