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Finding the Fourth Proportional to 70,922.86, 106,384.64 and 21,003.90

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Solution

The fourth proportional to 70,922.86, 106,384.64 and 21,003.90 is: 31,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,922.86 : 106,384.64 = 21,003.90 : x
  2. Step 2: Convert to fraction form
    70,922.86/106,384.64 = 21,003.90/x
  3. Step 3: Cross multiply
    70,922.86x = 106,384.64 × 21,003.90
  4. Step 4: Simplify right side
    70,922.86x = 2,234,492,340.10
  5. Step 5: Solve for x
    x = 2,234,492,340.10/70,922.86
  6. Step 6: Final answer
    x = 31,505.95

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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.