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Finding the Fourth Proportional to 102,087.34, 153,036.69 and 54,735.37

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Solution

The fourth proportional to 102,087.34, 153,036.69 and 54,735.37 is: 82,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087.34 : 153,036.69 = 54,735.37 : x
  2. Step 2: Convert to fraction form
    102,087.34/153,036.69 = 54,735.37/x
  3. Step 3: Cross multiply
    102,087.34x = 153,036.69 × 54,735.37
  4. Step 4: Simplify right side
    102,087.34x = 8,376,520,001.18
  5. Step 5: Solve for x
    x = 8,376,520,001.18/102,087.34
  6. Step 6: Final answer
    x = 82,052.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.