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Finding the Fourth Proportional to 57,079.84, 85,655.40 and 41,071

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Solution

The fourth proportional to 57,079.84, 85,655.40 and 41,071 is: 61,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,079.84 : 85,655.40 = 41,071 : x
  2. Step 2: Convert to fraction form
    57,079.84/85,655.40 = 41,071/x
  3. Step 3: Cross multiply
    57,079.84x = 85,655.40 × 41,071
  4. Step 4: Simplify right side
    57,079.84x = 3,517,952,933.40
  5. Step 5: Solve for x
    x = 3,517,952,933.40/57,079.84
  6. Step 6: Final answer
    x = 61,632.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.