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Finding the Fourth Proportional to 59,741.76, 82,415.94 and 38,527.86

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Solution

The fourth proportional to 59,741.76, 82,415.94 and 38,527.86 is: 53,150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,741.76 : 82,415.94 = 38,527.86 : x
  2. Step 2: Convert to fraction form
    59,741.76/82,415.94 = 38,527.86/x
  3. Step 3: Cross multiply
    59,741.76x = 82,415.94 × 38,527.86
  4. Step 4: Simplify right side
    59,741.76x = 3,175,309,798.09
  5. Step 5: Solve for x
    x = 3,175,309,798.09/59,741.76
  6. Step 6: Final answer
    x = 53,150.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.