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Finding the Fourth Proportional to 57,080.84, 85,656.90 and 41,072

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Solution

The fourth proportional to 57,080.84, 85,656.90 and 41,072 is: 61,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,080.84 : 85,656.90 = 41,072 : x
  2. Step 2: Convert to fraction form
    57,080.84/85,656.90 = 41,072/x
  3. Step 3: Cross multiply
    57,080.84x = 85,656.90 × 41,072
  4. Step 4: Simplify right side
    57,080.84x = 3,518,100,196.80
  5. Step 5: Solve for x
    x = 3,518,100,196.80/57,080.84
  6. Step 6: Final answer
    x = 61,633.64

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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.