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Finding the Fourth Proportional to 65,353.12, 97,871.79 and 37,187.84

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Solution

The fourth proportional to 65,353.12, 97,871.79 and 37,187.84 is: 55,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,353.12 : 97,871.79 = 37,187.84 : x
  2. Step 2: Convert to fraction form
    65,353.12/97,871.79 = 37,187.84/x
  3. Step 3: Cross multiply
    65,353.12x = 97,871.79 × 37,187.84
  4. Step 4: Simplify right side
    65,353.12x = 3,639,640,467.03
  5. Step 5: Solve for x
    x = 3,639,640,467.03/65,353.12
  6. Step 6: Final answer
    x = 55,691.92

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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.