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Finding the Fourth Proportional to 68,572.02, 102,821.04 and 31,111.64

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Solution

The fourth proportional to 68,572.02, 102,821.04 and 31,111.64 is: 46,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,572.02 : 102,821.04 = 31,111.64 : x
  2. Step 2: Convert to fraction form
    68,572.02/102,821.04 = 31,111.64/x
  3. Step 3: Cross multiply
    68,572.02x = 102,821.04 × 31,111.64
  4. Step 4: Simplify right side
    68,572.02x = 3,198,931,180.91
  5. Step 5: Solve for x
    x = 3,198,931,180.91/68,572.02
  6. Step 6: Final answer
    x = 46,650.68

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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.