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Finding the Fourth Proportional to 65,153.37, 97,631.64 and 48,434.97

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Solution

The fourth proportional to 65,153.37, 97,631.64 and 48,434.97 is: 72,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,153.37 : 97,631.64 = 48,434.97 : x
  2. Step 2: Convert to fraction form
    65,153.37/97,631.64 = 48,434.97/x
  3. Step 3: Cross multiply
    65,153.37x = 97,631.64 × 48,434.97
  4. Step 4: Simplify right side
    65,153.37x = 4,728,785,554.45
  5. Step 5: Solve for x
    x = 4,728,785,554.45/65,153.37
  6. Step 6: Final answer
    x = 72,579.29

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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.