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Finding the Fourth Proportional to 65,235.56, 97,822.52 and 25,273.28

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Solution

The fourth proportional to 65,235.56, 97,822.52 and 25,273.28 is: 37,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,235.56 : 97,822.52 = 25,273.28 : x
  2. Step 2: Convert to fraction form
    65,235.56/97,822.52 = 25,273.28/x
  3. Step 3: Cross multiply
    65,235.56x = 97,822.52 × 25,273.28
  4. Step 4: Simplify right side
    65,235.56x = 2,472,295,938.27
  5. Step 5: Solve for x
    x = 2,472,295,938.27/65,235.56
  6. Step 6: Final answer
    x = 37,897.98

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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.