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Finding the Fourth Proportional to 80,109.72, 110,554.32 and 51,815.40

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Solution

The fourth proportional to 80,109.72, 110,554.32 and 51,815.40 is: 71,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,109.72 : 110,554.32 = 51,815.40 : x
  2. Step 2: Convert to fraction form
    80,109.72/110,554.32 = 51,815.40/x
  3. Step 3: Cross multiply
    80,109.72x = 110,554.32 × 51,815.40
  4. Step 4: Simplify right side
    80,109.72x = 5,728,416,312.53
  5. Step 5: Solve for x
    x = 5,728,416,312.53/80,109.72
  6. Step 6: Final answer
    x = 71,507.13

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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.