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Finding the Fourth Proportional to 37,768.80, 56,653.36 and 11,473.76

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Solution

The fourth proportional to 37,768.80, 56,653.36 and 11,473.76 is: 17,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,768.80 : 56,653.36 = 11,473.76 : x
  2. Step 2: Convert to fraction form
    37,768.80/56,653.36 = 11,473.76/x
  3. Step 3: Cross multiply
    37,768.80x = 56,653.36 × 11,473.76
  4. Step 4: Simplify right side
    37,768.80x = 650,027,055.83
  5. Step 5: Solve for x
    x = 650,027,055.83/37,768.80
  6. Step 6: Final answer
    x = 17,210.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.