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Finding the Fourth Proportional to 57,046.49, 85,581.15 and 17,602.13

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Solution

The fourth proportional to 57,046.49, 85,581.15 and 17,602.13 is: 26,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,046.49 : 85,581.15 = 17,602.13 : x
  2. Step 2: Convert to fraction form
    57,046.49/85,581.15 = 17,602.13/x
  3. Step 3: Cross multiply
    57,046.49x = 85,581.15 × 17,602.13
  4. Step 4: Simplify right side
    57,046.49x = 1,506,410,099.94
  5. Step 5: Solve for x
    x = 1,506,410,099.94/57,046.49
  6. Step 6: Final answer
    x = 26,406.71

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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.