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Finding the Fourth Proportional to 65,232.55, 97,867.05 and 31,953.70

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Solution

The fourth proportional to 65,232.55, 97,867.05 and 31,953.70 is: 47,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,232.55 : 97,867.05 = 31,953.70 : x
  2. Step 2: Convert to fraction form
    65,232.55/97,867.05 = 31,953.70/x
  3. Step 3: Cross multiply
    65,232.55x = 97,867.05 × 31,953.70
  4. Step 4: Simplify right side
    65,232.55x = 3,127,214,355.59
  5. Step 5: Solve for x
    x = 3,127,214,355.59/65,232.55
  6. Step 6: Final answer
    x = 47,939.48

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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.