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Finding the Fourth Proportional to 52,316.96, 72,218.32 and 32,182

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Solution

The fourth proportional to 52,316.96, 72,218.32 and 32,182 is: 44,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,316.96 : 72,218.32 = 32,182 : x
  2. Step 2: Convert to fraction form
    52,316.96/72,218.32 = 32,182/x
  3. Step 3: Cross multiply
    52,316.96x = 72,218.32 × 32,182
  4. Step 4: Simplify right side
    52,316.96x = 2,324,129,974.24
  5. Step 5: Solve for x
    x = 2,324,129,974.24/52,316.96
  6. Step 6: Final answer
    x = 44,424.03

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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.