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Finding the Fourth Proportional to 72,083.62, 108,148.57 and 34,646.41

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Solution

The fourth proportional to 72,083.62, 108,148.57 and 34,646.41 is: 51,980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,083.62 : 108,148.57 = 34,646.41 : x
  2. Step 2: Convert to fraction form
    72,083.62/108,148.57 = 34,646.41/x
  3. Step 3: Cross multiply
    72,083.62x = 108,148.57 × 34,646.41
  4. Step 4: Simplify right side
    72,083.62x = 3,746,959,441.54
  5. Step 5: Solve for x
    x = 3,746,959,441.54/72,083.62
  6. Step 6: Final answer
    x = 51,980.73

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Why These Related Problems?

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