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Finding the Fourth Proportional to 56,984.94, 85,477.86 and 17,542.38

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Solution

The fourth proportional to 56,984.94, 85,477.86 and 17,542.38 is: 26,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,984.94 : 85,477.86 = 17,542.38 : x
  2. Step 2: Convert to fraction form
    56,984.94/85,477.86 = 17,542.38/x
  3. Step 3: Cross multiply
    56,984.94x = 85,477.86 × 17,542.38
  4. Step 4: Simplify right side
    56,984.94x = 1,499,485,101.71
  5. Step 5: Solve for x
    x = 1,499,485,101.71/56,984.94
  6. Step 6: Final answer
    x = 26,313.71

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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.