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Finding the Fourth Proportional to 37,917.66, 56,876.64 and 11,622.30

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Solution

The fourth proportional to 37,917.66, 56,876.64 and 11,622.30 is: 17,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,917.66 : 56,876.64 = 11,622.30 : x
  2. Step 2: Convert to fraction form
    37,917.66/56,876.64 = 11,622.30/x
  3. Step 3: Cross multiply
    37,917.66x = 56,876.64 × 11,622.30
  4. Step 4: Simplify right side
    37,917.66x = 661,037,373.07
  5. Step 5: Solve for x
    x = 661,037,373.07/37,917.66
  6. Step 6: Final answer
    x = 17,433.50

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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.