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Finding the Fourth Proportional to 37,458.56, 56,187.60 and 9,756.56

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Solution

The fourth proportional to 37,458.56, 56,187.60 and 9,756.56 is: 14,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,458.56 : 56,187.60 = 9,756.56 : x
  2. Step 2: Convert to fraction form
    37,458.56/56,187.60 = 9,756.56/x
  3. Step 3: Cross multiply
    37,458.56x = 56,187.60 × 9,756.56
  4. Step 4: Simplify right side
    37,458.56x = 548,197,690.66
  5. Step 5: Solve for x
    x = 548,197,690.66/37,458.56
  6. Step 6: Final answer
    x = 14,634.78

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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.