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Finding the Fourth Proportional to 35,472.06, 53,203.76 and 9,174.60

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Solution

The fourth proportional to 35,472.06, 53,203.76 and 9,174.60 is: 13,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,472.06 : 53,203.76 = 9,174.60 : x
  2. Step 2: Convert to fraction form
    35,472.06/53,203.76 = 9,174.60/x
  3. Step 3: Cross multiply
    35,472.06x = 53,203.76 × 9,174.60
  4. Step 4: Simplify right side
    35,472.06x = 488,123,216.50
  5. Step 5: Solve for x
    x = 488,123,216.50/35,472.06
  6. Step 6: Final answer
    x = 13,760.78

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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.