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Finding the Fourth Proportional to 80,428.47, 111,007.05 and 46,458.90

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Solution

The fourth proportional to 80,428.47, 111,007.05 and 46,458.90 is: 64,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,428.47 : 111,007.05 = 46,458.90 : x
  2. Step 2: Convert to fraction form
    80,428.47/111,007.05 = 46,458.90/x
  3. Step 3: Cross multiply
    80,428.47x = 111,007.05 × 46,458.90
  4. Step 4: Simplify right side
    80,428.47x = 5,157,265,435.25
  5. Step 5: Solve for x
    x = 5,157,265,435.25/80,428.47
  6. Step 6: Final answer
    x = 64,122.39

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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.