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Finding the Fourth Proportional to 37,446, 56,178.24 and 11,150.64

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Solution

The fourth proportional to 37,446, 56,178.24 and 11,150.64 is: 16,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,446 : 56,178.24 = 11,150.64 : x
  2. Step 2: Convert to fraction form
    37,446/56,178.24 = 11,150.64/x
  3. Step 3: Cross multiply
    37,446x = 56,178.24 × 11,150.64
  4. Step 4: Simplify right side
    37,446x = 626,423,330.07
  5. Step 5: Solve for x
    x = 626,423,330.07/37,446
  6. Step 6: Final answer
    x = 16,728.71

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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.