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Finding the Fourth Proportional to 71,096.43, 106,664.12 and 31,108.16

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Solution

The fourth proportional to 71,096.43, 106,664.12 and 31,108.16 is: 46,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,096.43 : 106,664.12 = 31,108.16 : x
  2. Step 2: Convert to fraction form
    71,096.43/106,664.12 = 31,108.16/x
  3. Step 3: Cross multiply
    71,096.43x = 106,664.12 × 31,108.16
  4. Step 4: Simplify right side
    71,096.43x = 3,318,124,511.22
  5. Step 5: Solve for x
    x = 3,318,124,511.22/71,096.43
  6. Step 6: Final answer
    x = 46,670.76

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1.5x scale

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.