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Finding the Fourth Proportional to 65,232.20, 97,826.76 and 25,232.64

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Solution

The fourth proportional to 65,232.20, 97,826.76 and 25,232.64 is: 37,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,232.20 : 97,826.76 = 25,232.64 : x
  2. Step 2: Convert to fraction form
    65,232.20/97,826.76 = 25,232.64/x
  3. Step 3: Cross multiply
    65,232.20x = 97,826.76 × 25,232.64
  4. Step 4: Simplify right side
    65,232.20x = 2,468,427,417.45
  5. Step 5: Solve for x
    x = 2,468,427,417.45/65,232.20
  6. Step 6: Final answer
    x = 37,840.63

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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.