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Finding the Fourth Proportional to 52,051.96, 71,808.06 and 33,177.34

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Solution

The fourth proportional to 52,051.96, 71,808.06 and 33,177.34 is: 45,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,051.96 : 71,808.06 = 33,177.34 : x
  2. Step 2: Convert to fraction form
    52,051.96/71,808.06 = 33,177.34/x
  3. Step 3: Cross multiply
    52,051.96x = 71,808.06 × 33,177.34
  4. Step 4: Simplify right side
    52,051.96x = 2,382,400,421.36
  5. Step 5: Solve for x
    x = 2,382,400,421.36/52,051.96
  6. Step 6: Final answer
    x = 45,769.66

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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.