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Finding the Fourth Proportional to 37,608.42, 56,419.10 and 12,650.88

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Solution

The fourth proportional to 37,608.42, 56,419.10 and 12,650.88 is: 18,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,608.42 : 56,419.10 = 12,650.88 : x
  2. Step 2: Convert to fraction form
    37,608.42/56,419.10 = 12,650.88/x
  3. Step 3: Cross multiply
    37,608.42x = 56,419.10 × 12,650.88
  4. Step 4: Simplify right side
    37,608.42x = 713,751,263.81
  5. Step 5: Solve for x
    x = 713,751,263.81/37,608.42
  6. Step 6: Final answer
    x = 18,978.50

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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.