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Finding the Fourth Proportional to 80,509.32, 111,097.30 and 44,696.54

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Solution

The fourth proportional to 80,509.32, 111,097.30 and 44,696.54 is: 61,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,509.32 : 111,097.30 = 44,696.54 : x
  2. Step 2: Convert to fraction form
    80,509.32/111,097.30 = 44,696.54/x
  3. Step 3: Cross multiply
    80,509.32x = 111,097.30 × 44,696.54
  4. Step 4: Simplify right side
    80,509.32x = 4,965,664,913.34
  5. Step 5: Solve for x
    x = 4,965,664,913.34/80,509.32
  6. Step 6: Final answer
    x = 61,678.14

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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.