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Finding the Fourth Proportional to 55,460.50, 76,538.24 and 32,812.74

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Solution

The fourth proportional to 55,460.50, 76,538.24 and 32,812.74 is: 45,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,460.50 : 76,538.24 = 32,812.74 : x
  2. Step 2: Convert to fraction form
    55,460.50/76,538.24 = 32,812.74/x
  3. Step 3: Cross multiply
    55,460.50x = 76,538.24 × 32,812.74
  4. Step 4: Simplify right side
    55,460.50x = 2,511,429,369.18
  5. Step 5: Solve for x
    x = 2,511,429,369.18/55,460.50
  6. Step 6: Final answer
    x = 45,283.21

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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.