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Finding the Fourth Proportional to 57,541.86, 86,197.97 and 45,715.66

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Solution

The fourth proportional to 57,541.86, 86,197.97 and 45,715.66 is: 68,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,541.86 : 86,197.97 = 45,715.66 : x
  2. Step 2: Convert to fraction form
    57,541.86/86,197.97 = 45,715.66/x
  3. Step 3: Cross multiply
    57,541.86x = 86,197.97 × 45,715.66
  4. Step 4: Simplify right side
    57,541.86x = 3,940,596,988.00
  5. Step 5: Solve for x
    x = 3,940,596,988.00/57,541.86
  6. Step 6: Final answer
    x = 68,482.27

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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.