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Finding the Fourth Proportional to 57,223.76, 85,859.26 and 30,897.50

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Solution

The fourth proportional to 57,223.76, 85,859.26 and 30,897.50 is: 46,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,223.76 : 85,859.26 = 30,897.50 : x
  2. Step 2: Convert to fraction form
    57,223.76/85,859.26 = 30,897.50/x
  3. Step 3: Cross multiply
    57,223.76x = 85,859.26 × 30,897.50
  4. Step 4: Simplify right side
    57,223.76x = 2,652,836,485.85
  5. Step 5: Solve for x
    x = 2,652,836,485.85/57,223.76
  6. Step 6: Final answer
    x = 46,359.00

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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.