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Finding the Fourth Proportional to 57,224.25, 85,860 and 30,897.99

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Solution

The fourth proportional to 57,224.25, 85,860 and 30,897.99 is: 46,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,224.25 : 85,860 = 30,897.99 : x
  2. Step 2: Convert to fraction form
    57,224.25/85,860 = 30,897.99/x
  3. Step 3: Cross multiply
    57,224.25x = 85,860 × 30,897.99
  4. Step 4: Simplify right side
    57,224.25x = 2,652,901,421.40
  5. Step 5: Solve for x
    x = 2,652,901,421.40/57,224.25
  6. Step 6: Final answer
    x = 46,359.74

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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.