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Finding the Fourth Proportional to 51,854.86, 71,538.42 and 38,459.08

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Solution

The fourth proportional to 51,854.86, 71,538.42 and 38,459.08 is: 53,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854.86 : 71,538.42 = 38,459.08 : x
  2. Step 2: Convert to fraction form
    51,854.86/71,538.42 = 38,459.08/x
  3. Step 3: Cross multiply
    51,854.86x = 71,538.42 × 38,459.08
  4. Step 4: Simplify right side
    51,854.86x = 2,751,301,817.85
  5. Step 5: Solve for x
    x = 2,751,301,817.85/51,854.86
  6. Step 6: Final answer
    x = 53,057.74

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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.