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Finding the Fourth Proportional to 81,546.16, 112,429.52 and 52,815.12

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Solution

The fourth proportional to 81,546.16, 112,429.52 and 52,815.12 is: 72,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,546.16 : 112,429.52 = 52,815.12 : x
  2. Step 2: Convert to fraction form
    81,546.16/112,429.52 = 52,815.12/x
  3. Step 3: Cross multiply
    81,546.16x = 112,429.52 × 52,815.12
  4. Step 4: Simplify right side
    81,546.16x = 5,937,978,590.34
  5. Step 5: Solve for x
    x = 5,937,978,590.34/81,546.16
  6. Step 6: Final answer
    x = 72,817.39

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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.